Finding the Third Proportional to 54,268 and 116,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,268 : 116,322.50 = 116,322.50 : x
2. Step 2: Convert to fraction form
   54,268/116,322.50 = 116,322.50/x
3. Step 3: Cross multiply
   54,268x = 116,322.50 × 116,322.50
4. Step 4: Simplify right side
   54,268x = 13,530,924,006.25
5. Step 5: Solve for x
   x = 13,530,924,006.25/54,268
6. Step 6: Final answer
   x = 249,335.23