Finding the Third Proportional to 123,945.75 and 268,499.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,945.75 : 268,499.25 = 268,499.25 : x
2. Step 2: Convert to fraction form
   123,945.75/268,499.25 = 268,499.25/x
3. Step 3: Cross multiply
   123,945.75x = 268,499.25 × 268,499.25
4. Step 4: Simplify right side
   123,945.75x = 72,091,847,250.56
5. Step 5: Solve for x
   x = 72,091,847,250.56/123,945.75
6. Step 6: Final answer
   x = 581,640.33