Finding the Third Proportional to 55,111.50 and 118,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,111.50 : 118,966.50 = 118,966.50 : x
2. Step 2: Convert to fraction form
   55,111.50/118,966.50 = 118,966.50/x
3. Step 3: Cross multiply
   55,111.50x = 118,966.50 × 118,966.50
4. Step 4: Simplify right side
   55,111.50x = 14,153,028,122.25
5. Step 5: Solve for x
   x = 14,153,028,122.25/55,111.50
6. Step 6: Final answer
   x = 256,807.17