Finding the Third Proportional to 80,290 and 92,002

Step by Step Solution

1. Step 1: Write the proportion equation
   80,290 : 92,002 = 92,002 : x
2. Step 2: Convert to fraction form
   80,290/92,002 = 92,002/x
3. Step 3: Cross multiply
   80,290x = 92,002 × 92,002
4. Step 4: Simplify right side
   80,290x = 8,464,368,004
5. Step 5: Solve for x
   x = 8,464,368,004/80,290
6. Step 6: Final answer
   x = 105,422.44