Finding the Third Proportional to 40,400 and 86,632

Step by Step Solution

1. Step 1: Write the proportion equation
   40,400 : 86,632 = 86,632 : x
2. Step 2: Convert to fraction form
   40,400/86,632 = 86,632/x
3. Step 3: Cross multiply
   40,400x = 86,632 × 86,632
4. Step 4: Simplify right side
   40,400x = 7,505,103,424
5. Step 5: Solve for x
   x = 7,505,103,424/40,400
6. Step 6: Final answer
   x = 185,769.89