Finding the Third Proportional to 78,388 and 169,064

Step by Step Solution

1. Step 1: Write the proportion equation
   78,388 : 169,064 = 169,064 : x
2. Step 2: Convert to fraction form
   78,388/169,064 = 169,064/x
3. Step 3: Cross multiply
   78,388x = 169,064 × 169,064
4. Step 4: Simplify right side
   78,388x = 28,582,636,096
5. Step 5: Solve for x
   x = 28,582,636,096/78,388
6. Step 6: Final answer
   x = 364,630.25