Finding the Third Proportional to 122,158.75 and 262,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,158.75 : 262,785.50 = 262,785.50 : x
2. Step 2: Convert to fraction form
   122,158.75/262,785.50 = 262,785.50/x
3. Step 3: Cross multiply
   122,158.75x = 262,785.50 × 262,785.50
4. Step 4: Simplify right side
   122,158.75x = 69,056,219,010.25
5. Step 5: Solve for x
   x = 69,056,219,010.25/122,158.75
6. Step 6: Final answer
   x = 565,299.00