Finding the Third Proportional to 89,496 and 195,820

Step by Step Solution

1. Step 1: Write the proportion equation
   89,496 : 195,820 = 195,820 : x
2. Step 2: Convert to fraction form
   89,496/195,820 = 195,820/x
3. Step 3: Cross multiply
   89,496x = 195,820 × 195,820
4. Step 4: Simplify right side
   89,496x = 38,345,472,400
5. Step 5: Solve for x
   x = 38,345,472,400/89,496
6. Step 6: Final answer
   x = 428,460.18