Finding the Third Proportional to 89,642 and 195,585

Step by Step Solution

1. Step 1: Write the proportion equation
   89,642 : 195,585 = 195,585 : x
2. Step 2: Convert to fraction form
   89,642/195,585 = 195,585/x
3. Step 3: Cross multiply
   89,642x = 195,585 × 195,585
4. Step 4: Simplify right side
   89,642x = 38,253,492,225
5. Step 5: Solve for x
   x = 38,253,492,225/89,642
6. Step 6: Final answer
   x = 426,736.26