Finding the Third Proportional to 91,632 and 194,496

Step by Step Solution

1. Step 1: Write the proportion equation
   91,632 : 194,496 = 194,496 : x
2. Step 2: Convert to fraction form
   91,632/194,496 = 194,496/x
3. Step 3: Cross multiply
   91,632x = 194,496 × 194,496
4. Step 4: Simplify right side
   91,632x = 37,828,694,016
5. Step 5: Solve for x
   x = 37,828,694,016/91,632
6. Step 6: Final answer
   x = 412,832.79