Finding the Third Proportional to 41,498 and 89,584

Step by Step Solution

1. Step 1: Write the proportion equation
   41,498 : 89,584 = 89,584 : x
2. Step 2: Convert to fraction form
   41,498/89,584 = 89,584/x
3. Step 3: Cross multiply
   41,498x = 89,584 × 89,584
4. Step 4: Simplify right side
   41,498x = 8,025,293,056
5. Step 5: Solve for x
   x = 8,025,293,056/41,498
6. Step 6: Final answer
   x = 193,389.88