Finding the Third Proportional to 41,310 and 89,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,310 : 89,626.50 = 89,626.50 : x
2. Step 2: Convert to fraction form
   41,310/89,626.50 = 89,626.50/x
3. Step 3: Cross multiply
   41,310x = 89,626.50 × 89,626.50
4. Step 4: Simplify right side
   41,310x = 8,032,909,502.25
5. Step 5: Solve for x
   x = 8,032,909,502.25/41,310
6. Step 6: Final answer
   x = 194,454.36