Finding the Third Proportional to 57,145.50 and 123,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,145.50 : 123,826.50 = 123,826.50 : x
2. Step 2: Convert to fraction form
   57,145.50/123,826.50 = 123,826.50/x
3. Step 3: Cross multiply
   57,145.50x = 123,826.50 × 123,826.50
4. Step 4: Simplify right side
   57,145.50x = 15,333,002,102.25
5. Step 5: Solve for x
   x = 15,333,002,102.25/57,145.50
6. Step 6: Final answer
   x = 268,315.13