Finding the Third Proportional to 40,543 and 89,078

Step by Step Solution

1. Step 1: Write the proportion equation
   40,543 : 89,078 = 89,078 : x
2. Step 2: Convert to fraction form
   40,543/89,078 = 89,078/x
3. Step 3: Cross multiply
   40,543x = 89,078 × 89,078
4. Step 4: Simplify right side
   40,543x = 7,934,890,084
5. Step 5: Solve for x
   x = 7,934,890,084/40,543
6. Step 6: Final answer
   x = 195,715.42