Finding the Third Proportional to 80,123 and 116,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,123 : 116,053.50 = 116,053.50 : x
2. Step 2: Convert to fraction form
   80,123/116,053.50 = 116,053.50/x
3. Step 3: Cross multiply
   80,123x = 116,053.50 × 116,053.50
4. Step 4: Simplify right side
   80,123x = 13,468,414,862.25
5. Step 5: Solve for x
   x = 13,468,414,862.25/80,123
6. Step 6: Final answer
   x = 168,096.74