Finding the Third Proportional to 42,678,208,458,012 and 57,582,924,074,685

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678,208,458,012 : 57,582,924,074,685 = 57,582,924,074,685 : x
2. Step 2: Convert to fraction form
   42,678,208,458,012/57,582,924,074,685 = 57,582,924,074,685/x
3. Step 3: Cross multiply
   42,678,208,458,012x = 57,582,924,074,685 × 57,582,924,074,685
4. Step 4: Simplify right side
   42,678,208,458,012x = 3,315,793,144,990,937,497,668,157,440
5. Step 5: Solve for x
   x = 3,315,793,144,990,937,497,668,157,440/42,678,208,458,012
6. Step 6: Final answer
   x = 77,692,885,076,305.55