Finding the Third Proportional to 40,909.50 and 89,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,909.50 : 89,626.50 = 89,626.50 : x
2. Step 2: Convert to fraction form
   40,909.50/89,626.50 = 89,626.50/x
3. Step 3: Cross multiply
   40,909.50x = 89,626.50 × 89,626.50
4. Step 4: Simplify right side
   40,909.50x = 8,032,909,502.25
5. Step 5: Solve for x
   x = 8,032,909,502.25/40,909.50
6. Step 6: Final answer
   x = 196,358.05