Finding the Third Proportional to 54,298.50 and 126,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,298.50 : 126,868.50 = 126,868.50 : x
2. Step 2: Convert to fraction form
   54,298.50/126,868.50 = 126,868.50/x
3. Step 3: Cross multiply
   54,298.50x = 126,868.50 × 126,868.50
4. Step 4: Simplify right side
   54,298.50x = 16,095,616,292.25
5. Step 5: Solve for x
   x = 16,095,616,292.25/54,298.50
6. Step 6: Final answer
   x = 296,428.38