Finding the Third Proportional to 81,454.50 and 126,123

Step by Step Solution

1. Step 1: Write the proportion equation
   81,454.50 : 126,123 = 126,123 : x
2. Step 2: Convert to fraction form
   81,454.50/126,123 = 126,123/x
3. Step 3: Cross multiply
   81,454.50x = 126,123 × 126,123
4. Step 4: Simplify right side
   81,454.50x = 15,907,011,129
5. Step 5: Solve for x
   x = 15,907,011,129/81,454.50
6. Step 6: Final answer
   x = 195,287.08