Finding the Third Proportional to 152,708 and 224,502

Step by Step Solution

1. Step 1: Write the proportion equation
   152,708 : 224,502 = 224,502 : x
2. Step 2: Convert to fraction form
   152,708/224,502 = 224,502/x
3. Step 3: Cross multiply
   152,708x = 224,502 × 224,502
4. Step 4: Simplify right side
   152,708x = 50,401,148,004
5. Step 5: Solve for x
   x = 50,401,148,004/152,708
6. Step 6: Final answer
   x = 330,049.17