Finding the Third Proportional to 40,150 and 86,466

Step by Step Solution

1. Step 1: Write the proportion equation
   40,150 : 86,466 = 86,466 : x
2. Step 2: Convert to fraction form
   40,150/86,466 = 86,466/x
3. Step 3: Cross multiply
   40,150x = 86,466 × 86,466
4. Step 4: Simplify right side
   40,150x = 7,476,369,156
5. Step 5: Solve for x
   x = 7,476,369,156/40,150
6. Step 6: Final answer
   x = 186,210.94