Finding the Third Proportional to 90,352 and 196,256

Step by Step Solution

1. Step 1: Write the proportion equation
   90,352 : 196,256 = 196,256 : x
2. Step 2: Convert to fraction form
   90,352/196,256 = 196,256/x
3. Step 3: Cross multiply
   90,352x = 196,256 × 196,256
4. Step 4: Simplify right side
   90,352x = 38,516,417,536
5. Step 5: Solve for x
   x = 38,516,417,536/90,352
6. Step 6: Final answer
   x = 426,292.92