Finding the Third Proportional to 54,264 and 83,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,264 : 83,458.50 = 83,458.50 : x
2. Step 2: Convert to fraction form
   54,264/83,458.50 = 83,458.50/x
3. Step 3: Cross multiply
   54,264x = 83,458.50 × 83,458.50
4. Step 4: Simplify right side
   54,264x = 6,965,321,222.25
5. Step 5: Solve for x
   x = 6,965,321,222.25/54,264
6. Step 6: Final answer
   x = 128,359.89