Finding the Third Proportional to 90,948 and 196,380

Step by Step Solution

1. Step 1: Write the proportion equation
   90,948 : 196,380 = 196,380 : x
2. Step 2: Convert to fraction form
   90,948/196,380 = 196,380/x
3. Step 3: Cross multiply
   90,948x = 196,380 × 196,380
4. Step 4: Simplify right side
   90,948x = 38,565,104,400
5. Step 5: Solve for x
   x = 38,565,104,400/90,948
6. Step 6: Final answer
   x = 424,034.66