Finding the Third Proportional to 41,498 and 89,047

Step by Step Solution

1. Step 1: Write the proportion equation
   41,498 : 89,047 = 89,047 : x
2. Step 2: Convert to fraction form
   41,498/89,047 = 89,047/x
3. Step 3: Cross multiply
   41,498x = 89,047 × 89,047
4. Step 4: Simplify right side
   41,498x = 7,929,368,209
5. Step 5: Solve for x
   x = 7,929,368,209/41,498
6. Step 6: Final answer
   x = 191,078.32