Finding the Third Proportional to 90,518 and 126,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,518 : 126,609.50 = 126,609.50 : x
2. Step 2: Convert to fraction form
   90,518/126,609.50 = 126,609.50/x
3. Step 3: Cross multiply
   90,518x = 126,609.50 × 126,609.50
4. Step 4: Simplify right side
   90,518x = 16,029,965,490.25
5. Step 5: Solve for x
   x = 16,029,965,490.25/90,518
6. Step 6: Final answer
   x = 177,091.47