Finding the Third Proportional to 40,874 and 88,197.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,874 : 88,197.50 = 88,197.50 : x
2. Step 2: Convert to fraction form
   40,874/88,197.50 = 88,197.50/x
3. Step 3: Cross multiply
   40,874x = 88,197.50 × 88,197.50
4. Step 4: Simplify right side
   40,874x = 7,778,799,006.25
5. Step 5: Solve for x
   x = 7,778,799,006.25/40,874
6. Step 6: Final answer
   x = 190,311.67