Finding the Third Proportional to 89,872 and 195,736

Step by Step Solution

1. Step 1: Write the proportion equation
   89,872 : 195,736 = 195,736 : x
2. Step 2: Convert to fraction form
   89,872/195,736 = 195,736/x
3. Step 3: Cross multiply
   89,872x = 195,736 × 195,736
4. Step 4: Simplify right side
   89,872x = 38,312,581,696
5. Step 5: Solve for x
   x = 38,312,581,696/89,872
6. Step 6: Final answer
   x = 426,301.65