Finding the Third Proportional to 40,582 and 88,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,582 : 88,545.50 = 88,545.50 : x
2. Step 2: Convert to fraction form
   40,582/88,545.50 = 88,545.50/x
3. Step 3: Cross multiply
   40,582x = 88,545.50 × 88,545.50
4. Step 4: Simplify right side
   40,582x = 7,840,305,570.25
5. Step 5: Solve for x
   x = 7,840,305,570.25/40,582
6. Step 6: Final answer
   x = 193,196.63