Finding the Third Proportional to 87,792 and 194,566

Step by Step Solution

1. Step 1: Write the proportion equation
   87,792 : 194,566 = 194,566 : x
2. Step 2: Convert to fraction form
   87,792/194,566 = 194,566/x
3. Step 3: Cross multiply
   87,792x = 194,566 × 194,566
4. Step 4: Simplify right side
   87,792x = 37,855,928,356
5. Step 5: Solve for x
   x = 37,855,928,356/87,792
6. Step 6: Final answer
   x = 431,200.20