Finding the Third Proportional to 54,758 and 117,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,758 : 117,695.50 = 117,695.50 : x
2. Step 2: Convert to fraction form
   54,758/117,695.50 = 117,695.50/x
3. Step 3: Cross multiply
   54,758x = 117,695.50 × 117,695.50
4. Step 4: Simplify right side
   54,758x = 13,852,230,720.25
5. Step 5: Solve for x
   x = 13,852,230,720.25/54,758
6. Step 6: Final answer
   x = 252,971.82