Finding the Third Proportional to 152,734 and 329,123

Step by Step Solution

1. Step 1: Write the proportion equation
   152,734 : 329,123 = 329,123 : x
2. Step 2: Convert to fraction form
   152,734/329,123 = 329,123/x
3. Step 3: Cross multiply
   152,734x = 329,123 × 329,123
4. Step 4: Simplify right side
   152,734x = 108,321,949,129
5. Step 5: Solve for x
   x = 108,321,949,129/152,734
6. Step 6: Final answer
   x = 709,219.62