Finding the Third Proportional to 90,454 and 196,474

Step by Step Solution

1. Step 1: Write the proportion equation
   90,454 : 196,474 = 196,474 : x
2. Step 2: Convert to fraction form
   90,454/196,474 = 196,474/x
3. Step 3: Cross multiply
   90,454x = 196,474 × 196,474
4. Step 4: Simplify right side
   90,454x = 38,602,032,676
5. Step 5: Solve for x
   x = 38,602,032,676/90,454
6. Step 6: Final answer
   x = 426,758.71