Finding the Third Proportional to 123,630.75 and 266,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,630.75 : 266,458.50 = 266,458.50 : x
2. Step 2: Convert to fraction form
   123,630.75/266,458.50 = 266,458.50/x
3. Step 3: Cross multiply
   123,630.75x = 266,458.50 × 266,458.50
4. Step 4: Simplify right side
   123,630.75x = 71,000,132,222.25
5. Step 5: Solve for x
   x = 71,000,132,222.25/123,630.75
6. Step 6: Final answer
   x = 574,291.85