Finding the Third Proportional to 45,414 and 99,002

Step by Step Solution

1. Step 1: Write the proportion equation
   45,414 : 99,002 = 99,002 : x
2. Step 2: Convert to fraction form
   45,414/99,002 = 99,002/x
3. Step 3: Cross multiply
   45,414x = 99,002 × 99,002
4. Step 4: Simplify right side
   45,414x = 9,801,396,004
5. Step 5: Solve for x
   x = 9,801,396,004/45,414
6. Step 6: Final answer
   x = 215,823.23