Finding the Third Proportional to 90,642 and 196,350

Step by Step Solution

1. Step 1: Write the proportion equation
   90,642 : 196,350 = 196,350 : x
2. Step 2: Convert to fraction form
   90,642/196,350 = 196,350/x
3. Step 3: Cross multiply
   90,642x = 196,350 × 196,350
4. Step 4: Simplify right side
   90,642x = 38,553,322,500
5. Step 5: Solve for x
   x = 38,553,322,500/90,642
6. Step 6: Final answer
   x = 425,336.19