Finding the Third Proportional to 40,780 and 89,839

Step by Step Solution

1. Step 1: Write the proportion equation
   40,780 : 89,839 = 89,839 : x
2. Step 2: Convert to fraction form
   40,780/89,839 = 89,839/x
3. Step 3: Cross multiply
   40,780x = 89,839 × 89,839
4. Step 4: Simplify right side
   40,780x = 8,071,045,921
5. Step 5: Solve for x
   x = 8,071,045,921/40,780
6. Step 6: Final answer
   x = 197,916.77