Finding the Third Proportional to 54,757 and 117,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,757 : 117,693.50 = 117,693.50 : x
2. Step 2: Convert to fraction form
   54,757/117,693.50 = 117,693.50/x
3. Step 3: Cross multiply
   54,757x = 117,693.50 × 117,693.50
4. Step 4: Simplify right side
   54,757x = 13,851,759,942.25
5. Step 5: Solve for x
   x = 13,851,759,942.25/54,757
6. Step 6: Final answer
   x = 252,967.84