Finding the Third Proportional to 332,112 and 501,624

Step by Step Solution

1. Step 1: Write the proportion equation
   332,112 : 501,624 = 501,624 : x
2. Step 2: Convert to fraction form
   332,112/501,624 = 501,624/x
3. Step 3: Cross multiply
   332,112x = 501,624 × 501,624
4. Step 4: Simplify right side
   332,112x = 251,626,637,376
5. Step 5: Solve for x
   x = 251,626,637,376/332,112
6. Step 6: Final answer
   x = 757,655.96