Finding the Third Proportional to 133,758 and 297,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,758 : 297,040.50 = 297,040.50 : x
2. Step 2: Convert to fraction form
   133,758/297,040.50 = 297,040.50/x
3. Step 3: Cross multiply
   133,758x = 297,040.50 × 297,040.50
4. Step 4: Simplify right side
   133,758x = 88,233,058,640.25
5. Step 5: Solve for x
   x = 88,233,058,640.25/133,758
6. Step 6: Final answer
   x = 659,646.96