Finding the Third Proportional to 152,422 and 333,902

Step by Step Solution

1. Step 1: Write the proportion equation
   152,422 : 333,902 = 333,902 : x
2. Step 2: Convert to fraction form
   152,422/333,902 = 333,902/x
3. Step 3: Cross multiply
   152,422x = 333,902 × 333,902
4. Step 4: Simplify right side
   152,422x = 111,490,545,604
5. Step 5: Solve for x
   x = 111,490,545,604/152,422
6. Step 6: Final answer
   x = 731,459.67