Finding the Third Proportional to 90,516 and 196,098

Step by Step Solution

1. Step 1: Write the proportion equation
   90,516 : 196,098 = 196,098 : x
2. Step 2: Convert to fraction form
   90,516/196,098 = 196,098/x
3. Step 3: Cross multiply
   90,516x = 196,098 × 196,098
4. Step 4: Simplify right side
   90,516x = 38,454,425,604
5. Step 5: Solve for x
   x = 38,454,425,604/90,516
6. Step 6: Final answer
   x = 424,835.67