Finding the Third Proportional to 546,035,256 and 772,623,144

Step by Step Solution

1. Step 1: Write the proportion equation
   546,035,256 : 772,623,144 = 772,623,144 : x
2. Step 2: Convert to fraction form
   546,035,256/772,623,144 = 772,623,144/x
3. Step 3: Cross multiply
   546,035,256x = 772,623,144 × 772,623,144
4. Step 4: Simplify right side
   546,035,256x = 596,946,522,644,444,672
5. Step 5: Solve for x
   x = 596,946,522,644,444,672/546,035,256
6. Step 6: Final answer
   x = 1,093,238,057.59