Finding the Third Proportional to 40,770 and 89,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,770 : 89,816.50 = 89,816.50 : x
2. Step 2: Convert to fraction form
   40,770/89,816.50 = 89,816.50/x
3. Step 3: Cross multiply
   40,770x = 89,816.50 × 89,816.50
4. Step 4: Simplify right side
   40,770x = 8,067,003,672.25
5. Step 5: Solve for x
   x = 8,067,003,672.25/40,770
6. Step 6: Final answer
   x = 197,866.17