Finding the Third Proportional to 90,448 and 196,464

Step by Step Solution

1. Step 1: Write the proportion equation
   90,448 : 196,464 = 196,464 : x
2. Step 2: Convert to fraction form
   90,448/196,464 = 196,464/x
3. Step 3: Cross multiply
   90,448x = 196,464 × 196,464
4. Step 4: Simplify right side
   90,448x = 38,598,103,296
5. Step 5: Solve for x
   x = 38,598,103,296/90,448
6. Step 6: Final answer
   x = 426,743.58