Finding the Third Proportional to 86,414 and 185,356

Step by Step Solution

1. Step 1: Write the proportion equation
   86,414 : 185,356 = 185,356 : x
2. Step 2: Convert to fraction form
   86,414/185,356 = 185,356/x
3. Step 3: Cross multiply
   86,414x = 185,356 × 185,356
4. Step 4: Simplify right side
   86,414x = 34,356,846,736
5. Step 5: Solve for x
   x = 34,356,846,736/86,414
6. Step 6: Final answer
   x = 397,584.27