Finding the Third Proportional to 123,268.50 and 266,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,268.50 : 266,179.50 = 266,179.50 : x
2. Step 2: Convert to fraction form
   123,268.50/266,179.50 = 266,179.50/x
3. Step 3: Cross multiply
   123,268.50x = 266,179.50 × 266,179.50
4. Step 4: Simplify right side
   123,268.50x = 70,851,526,220.25
5. Step 5: Solve for x
   x = 70,851,526,220.25/123,268.50
6. Step 6: Final answer
   x = 574,773.98