Finding the Third Proportional to 152,727 and 327,342

Step by Step Solution

1. Step 1: Write the proportion equation
   152,727 : 327,342 = 327,342 : x
2. Step 2: Convert to fraction form
   152,727/327,342 = 327,342/x
3. Step 3: Cross multiply
   152,727x = 327,342 × 327,342
4. Step 4: Simplify right side
   152,727x = 107,152,784,964
5. Step 5: Solve for x
   x = 107,152,784,964/152,727
6. Step 6: Final answer
   x = 701,596.87