Finding the Third Proportional to 90,564 and 196,680

Step by Step Solution

1. Step 1: Write the proportion equation
   90,564 : 196,680 = 196,680 : x
2. Step 2: Convert to fraction form
   90,564/196,680 = 196,680/x
3. Step 3: Cross multiply
   90,564x = 196,680 × 196,680
4. Step 4: Simplify right side
   90,564x = 38,683,022,400
5. Step 5: Solve for x
   x = 38,683,022,400/90,564
6. Step 6: Final answer
   x = 427,134.65