Finding the Third Proportional to 49,633 and 109,633

Step by Step Solution

1. Step 1: Write the proportion equation
   49,633 : 109,633 = 109,633 : x
2. Step 2: Convert to fraction form
   49,633/109,633 = 109,633/x
3. Step 3: Cross multiply
   49,633x = 109,633 × 109,633
4. Step 4: Simplify right side
   49,633x = 12,019,394,689
5. Step 5: Solve for x
   x = 12,019,394,689/49,633
6. Step 6: Final answer
   x = 242,165.39