Finding the Third Proportional to 40,295 and 86,422

Step by Step Solution

1. Step 1: Write the proportion equation
   40,295 : 86,422 = 86,422 : x
2. Step 2: Convert to fraction form
   40,295/86,422 = 86,422/x
3. Step 3: Cross multiply
   40,295x = 86,422 × 86,422
4. Step 4: Simplify right side
   40,295x = 7,468,762,084
5. Step 5: Solve for x
   x = 7,468,762,084/40,295
6. Step 6: Final answer
   x = 185,352.08