Finding the Third Proportional to 91,662 and 195,434

Step by Step Solution

1. Step 1: Write the proportion equation
   91,662 : 195,434 = 195,434 : x
2. Step 2: Convert to fraction form
   91,662/195,434 = 195,434/x
3. Step 3: Cross multiply
   91,662x = 195,434 × 195,434
4. Step 4: Simplify right side
   91,662x = 38,194,448,356
5. Step 5: Solve for x
   x = 38,194,448,356/91,662
6. Step 6: Final answer
   x = 416,687.92