Finding the Third Proportional to 152,938 and 329,310

Step by Step Solution

1. Step 1: Write the proportion equation
   152,938 : 329,310 = 329,310 : x
2. Step 2: Convert to fraction form
   152,938/329,310 = 329,310/x
3. Step 3: Cross multiply
   152,938x = 329,310 × 329,310
4. Step 4: Simplify right side
   152,938x = 108,445,076,100
5. Step 5: Solve for x
   x = 108,445,076,100/152,938
6. Step 6: Final answer
   x = 709,078.69