Finding the Third Proportional to 90,662 and 197,454

Step by Step Solution

1. Step 1: Write the proportion equation
   90,662 : 197,454 = 197,454 : x
2. Step 2: Convert to fraction form
   90,662/197,454 = 197,454/x
3. Step 3: Cross multiply
   90,662x = 197,454 × 197,454
4. Step 4: Simplify right side
   90,662x = 38,988,082,116
5. Step 5: Solve for x
   x = 38,988,082,116/90,662
6. Step 6: Final answer
   x = 430,037.75