Finding the Third Proportional to 56,568 and 122,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,568 : 122,977.50 = 122,977.50 : x
2. Step 2: Convert to fraction form
   56,568/122,977.50 = 122,977.50/x
3. Step 3: Cross multiply
   56,568x = 122,977.50 × 122,977.50
4. Step 4: Simplify right side
   56,568x = 15,123,465,506.25
5. Step 5: Solve for x
   x = 15,123,465,506.25/56,568
6. Step 6: Final answer
   x = 267,350.19