Finding the Third Proportional to 40,541 and 89,074

Step by Step Solution

1. Step 1: Write the proportion equation
   40,541 : 89,074 = 89,074 : x
2. Step 2: Convert to fraction form
   40,541/89,074 = 89,074/x
3. Step 3: Cross multiply
   40,541x = 89,074 × 89,074
4. Step 4: Simplify right side
   40,541x = 7,934,177,476
5. Step 5: Solve for x
   x = 7,934,177,476/40,541
6. Step 6: Final answer
   x = 195,707.49