Finding the Third Proportional to 41,560 and 90,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,560 : 90,909.50 = 90,909.50 : x
2. Step 2: Convert to fraction form
   41,560/90,909.50 = 90,909.50/x
3. Step 3: Cross multiply
   41,560x = 90,909.50 × 90,909.50
4. Step 4: Simplify right side
   41,560x = 8,264,537,190.25
5. Step 5: Solve for x
   x = 8,264,537,190.25/41,560
6. Step 6: Final answer
   x = 198,857.97