Finding the Third Proportional to 133,747.50 and 297,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,747.50 : 297,019.50 = 297,019.50 : x
2. Step 2: Convert to fraction form
   133,747.50/297,019.50 = 297,019.50/x
3. Step 3: Cross multiply
   133,747.50x = 297,019.50 × 297,019.50
4. Step 4: Simplify right side
   133,747.50x = 88,220,583,380.25
5. Step 5: Solve for x
   x = 88,220,583,380.25/133,747.50
6. Step 6: Final answer
   x = 659,605.48