Finding the Third Proportional to 152,937 and 333,522

Step by Step Solution

1. Step 1: Write the proportion equation
   152,937 : 333,522 = 333,522 : x
2. Step 2: Convert to fraction form
   152,937/333,522 = 333,522/x
3. Step 3: Cross multiply
   152,937x = 333,522 × 333,522
4. Step 4: Simplify right side
   152,937x = 111,236,924,484
5. Step 5: Solve for x
   x = 111,236,924,484/152,937
6. Step 6: Final answer
   x = 727,338.21