Finding the Third Proportional to 90,674 and 196,414

Step by Step Solution

1. Step 1: Write the proportion equation
   90,674 : 196,414 = 196,414 : x
2. Step 2: Convert to fraction form
   90,674/196,414 = 196,414/x
3. Step 3: Cross multiply
   90,674x = 196,414 × 196,414
4. Step 4: Simplify right side
   90,674x = 38,578,459,396
5. Step 5: Solve for x
   x = 38,578,459,396/90,674
6. Step 6: Final answer
   x = 425,463.30