Finding the Third Proportional to 40,386 and 86,532

Step by Step Solution

1. Step 1: Write the proportion equation
   40,386 : 86,532 = 86,532 : x
2. Step 2: Convert to fraction form
   40,386/86,532 = 86,532/x
3. Step 3: Cross multiply
   40,386x = 86,532 × 86,532
4. Step 4: Simplify right side
   40,386x = 7,487,787,024
5. Step 5: Solve for x
   x = 7,487,787,024/40,386
6. Step 6: Final answer
   x = 185,405.51