Finding the Third Proportional to 40,198.50 and 81,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,198.50 : 81,490.50 = 81,490.50 : x
2. Step 2: Convert to fraction form
   40,198.50/81,490.50 = 81,490.50/x
3. Step 3: Cross multiply
   40,198.50x = 81,490.50 × 81,490.50
4. Step 4: Simplify right side
   40,198.50x = 6,640,701,590.25
5. Step 5: Solve for x
   x = 6,640,701,590.25/40,198.50
6. Step 6: Final answer
   x = 165,197.75