Finding the Third Proportional to 45,591 and 99,498

Step by Step Solution

1. Step 1: Write the proportion equation
   45,591 : 99,498 = 99,498 : x
2. Step 2: Convert to fraction form
   45,591/99,498 = 99,498/x
3. Step 3: Cross multiply
   45,591x = 99,498 × 99,498
4. Step 4: Simplify right side
   45,591x = 9,899,852,004
5. Step 5: Solve for x
   x = 9,899,852,004/45,591
6. Step 6: Final answer
   x = 217,144.88