Finding the Third Proportional to 90,413 and 196,398

Step by Step Solution

1. Step 1: Write the proportion equation
   90,413 : 196,398 = 196,398 : x
2. Step 2: Convert to fraction form
   90,413/196,398 = 196,398/x
3. Step 3: Cross multiply
   90,413x = 196,398 × 196,398
4. Step 4: Simplify right side
   90,413x = 38,572,174,404
5. Step 5: Solve for x
   x = 38,572,174,404/90,413
6. Step 6: Final answer
   x = 426,621.99