Finding the Third Proportional to 90,650 and 196,366

Step by Step Solution

1. Step 1: Write the proportion equation
   90,650 : 196,366 = 196,366 : x
2. Step 2: Convert to fraction form
   90,650/196,366 = 196,366/x
3. Step 3: Cross multiply
   90,650x = 196,366 × 196,366
4. Step 4: Simplify right side
   90,650x = 38,559,605,956
5. Step 5: Solve for x
   x = 38,559,605,956/90,650
6. Step 6: Final answer
   x = 425,367.96