Finding the Third Proportional to 40,602 and 88,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,602 : 88,582.50 = 88,582.50 : x
2. Step 2: Convert to fraction form
   40,602/88,582.50 = 88,582.50/x
3. Step 3: Cross multiply
   40,602x = 88,582.50 × 88,582.50
4. Step 4: Simplify right side
   40,602x = 7,846,859,306.25
5. Step 5: Solve for x
   x = 7,846,859,306.25/40,602
6. Step 6: Final answer
   x = 193,262.88