Finding the Third Proportional to 49,826 and 109,498

Step by Step Solution

1. Step 1: Write the proportion equation
   49,826 : 109,498 = 109,498 : x
2. Step 2: Convert to fraction form
   49,826/109,498 = 109,498/x
3. Step 3: Cross multiply
   49,826x = 109,498 × 109,498
4. Step 4: Simplify right side
   49,826x = 11,989,812,004
5. Step 5: Solve for x
   x = 11,989,812,004/49,826
6. Step 6: Final answer
   x = 240,633.65