Finding the Third Proportional to 91,008 and 194,382

Step by Step Solution

1. Step 1: Write the proportion equation
   91,008 : 194,382 = 194,382 : x
2. Step 2: Convert to fraction form
   91,008/194,382 = 194,382/x
3. Step 3: Cross multiply
   91,008x = 194,382 × 194,382
4. Step 4: Simplify right side
   91,008x = 37,784,361,924
5. Step 5: Solve for x
   x = 37,784,361,924/91,008
6. Step 6: Final answer
   x = 415,176.27