Finding the Third Proportional to 49,613 and 107,002

Step by Step Solution

1. Step 1: Write the proportion equation
   49,613 : 107,002 = 107,002 : x
2. Step 2: Convert to fraction form
   49,613/107,002 = 107,002/x
3. Step 3: Cross multiply
   49,613x = 107,002 × 107,002
4. Step 4: Simplify right side
   49,613x = 11,449,428,004
5. Step 5: Solve for x
   x = 11,449,428,004/49,613
6. Step 6: Final answer
   x = 230,774.76