Finding the Third Proportional to 41,438 and 89,428

Step by Step Solution

1. Step 1: Write the proportion equation
   41,438 : 89,428 = 89,428 : x
2. Step 2: Convert to fraction form
   41,438/89,428 = 89,428/x
3. Step 3: Cross multiply
   41,438x = 89,428 × 89,428
4. Step 4: Simplify right side
   41,438x = 7,997,367,184
5. Step 5: Solve for x
   x = 7,997,367,184/41,438
6. Step 6: Final answer
   x = 192,995.97