Finding the Third Proportional to 89,291 and 196,438

Step by Step Solution

1. Step 1: Write the proportion equation
   89,291 : 196,438 = 196,438 : x
2. Step 2: Convert to fraction form
   89,291/196,438 = 196,438/x
3. Step 3: Cross multiply
   89,291x = 196,438 × 196,438
4. Step 4: Simplify right side
   89,291x = 38,587,887,844
5. Step 5: Solve for x
   x = 38,587,887,844/89,291
6. Step 6: Final answer
   x = 432,158.76