Finding the Third Proportional to 89,624 and 196,720

Step by Step Solution

1. Step 1: Write the proportion equation
   89,624 : 196,720 = 196,720 : x
2. Step 2: Convert to fraction form
   89,624/196,720 = 196,720/x
3. Step 3: Cross multiply
   89,624x = 196,720 × 196,720
4. Step 4: Simplify right side
   89,624x = 38,698,758,400
5. Step 5: Solve for x
   x = 38,698,758,400/89,624
6. Step 6: Final answer
   x = 431,790.13