Finding the Third Proportional to 40,516 and 89,072

Step by Step Solution

1. Step 1: Write the proportion equation
   40,516 : 89,072 = 89,072 : x
2. Step 2: Convert to fraction form
   40,516/89,072 = 89,072/x
3. Step 3: Cross multiply
   40,516x = 89,072 × 89,072
4. Step 4: Simplify right side
   40,516x = 7,933,821,184
5. Step 5: Solve for x
   x = 7,933,821,184/40,516
6. Step 6: Final answer
   x = 195,819.46