Finding the Third Proportional to 152,942 and 333,532

Step by Step Solution

1. Step 1: Write the proportion equation
   152,942 : 333,532 = 333,532 : x
2. Step 2: Convert to fraction form
   152,942/333,532 = 333,532/x
3. Step 3: Cross multiply
   152,942x = 333,532 × 333,532
4. Step 4: Simplify right side
   152,942x = 111,243,595,024
5. Step 5: Solve for x
   x = 111,243,595,024/152,942
6. Step 6: Final answer
   x = 727,358.05