Finding the Third Proportional to 56,257.50 and 123,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,257.50 : 123,022.50 = 123,022.50 : x
2. Step 2: Convert to fraction form
   56,257.50/123,022.50 = 123,022.50/x
3. Step 3: Cross multiply
   56,257.50x = 123,022.50 × 123,022.50
4. Step 4: Simplify right side
   56,257.50x = 15,134,535,506.25
5. Step 5: Solve for x
   x = 15,134,535,506.25/56,257.50
6. Step 6: Final answer
   x = 269,022.54