Finding the Third Proportional to 90,120 and 196,096

Step by Step Solution

1. Step 1: Write the proportion equation
   90,120 : 196,096 = 196,096 : x
2. Step 2: Convert to fraction form
   90,120/196,096 = 196,096/x
3. Step 3: Cross multiply
   90,120x = 196,096 × 196,096
4. Step 4: Simplify right side
   90,120x = 38,453,641,216
5. Step 5: Solve for x
   x = 38,453,641,216/90,120
6. Step 6: Final answer
   x = 426,693.76