Finding the Third Proportional to 152,976 and 335,502

Step by Step Solution

1. Step 1: Write the proportion equation
   152,976 : 335,502 = 335,502 : x
2. Step 2: Convert to fraction form
   152,976/335,502 = 335,502/x
3. Step 3: Cross multiply
   152,976x = 335,502 × 335,502
4. Step 4: Simplify right side
   152,976x = 112,561,592,004
5. Step 5: Solve for x
   x = 112,561,592,004/152,976
6. Step 6: Final answer
   x = 735,812.10