Finding the Third Proportional to 49,277 and 108,002

Step by Step Solution

1. Step 1: Write the proportion equation
   49,277 : 108,002 = 108,002 : x
2. Step 2: Convert to fraction form
   49,277/108,002 = 108,002/x
3. Step 3: Cross multiply
   49,277x = 108,002 × 108,002
4. Step 4: Simplify right side
   49,277x = 11,664,432,004
5. Step 5: Solve for x
   x = 11,664,432,004/49,277
6. Step 6: Final answer
   x = 236,711.49