Finding the Third Proportional to 54,666 and 118,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,666 : 118,399.50 = 118,399.50 : x
2. Step 2: Convert to fraction form
   54,666/118,399.50 = 118,399.50/x
3. Step 3: Cross multiply
   54,666x = 118,399.50 × 118,399.50
4. Step 4: Simplify right side
   54,666x = 14,018,441,600.25
5. Step 5: Solve for x
   x = 14,018,441,600.25/54,666
6. Step 6: Final answer
   x = 256,438.03