Finding the Third Proportional to 40,694 and 98,002

Step by Step Solution

1. Step 1: Write the proportion equation
   40,694 : 98,002 = 98,002 : x
2. Step 2: Convert to fraction form
   40,694/98,002 = 98,002/x
3. Step 3: Cross multiply
   40,694x = 98,002 × 98,002
4. Step 4: Simplify right side
   40,694x = 9,604,392,004
5. Step 5: Solve for x
   x = 9,604,392,004/40,694
6. Step 6: Final answer
   x = 236,014.94