Finding the Third Proportional to 90,684 and 194,472

Step by Step Solution

1. Step 1: Write the proportion equation
   90,684 : 194,472 = 194,472 : x
2. Step 2: Convert to fraction form
   90,684/194,472 = 194,472/x
3. Step 3: Cross multiply
   90,684x = 194,472 × 194,472
4. Step 4: Simplify right side
   90,684x = 37,819,358,784
5. Step 5: Solve for x
   x = 37,819,358,784/90,684
6. Step 6: Final answer
   x = 417,045.55