Finding the Third Proportional to 40,401 and 88,145

Step by Step Solution

1. Step 1: Write the proportion equation
   40,401 : 88,145 = 88,145 : x
2. Step 2: Convert to fraction form
   40,401/88,145 = 88,145/x
3. Step 3: Cross multiply
   40,401x = 88,145 × 88,145
4. Step 4: Simplify right side
   40,401x = 7,769,541,025
5. Step 5: Solve for x
   x = 7,769,541,025/40,401
6. Step 6: Final answer
   x = 192,310.61