Finding the Third Proportional to 49,582 and 109,223

Step by Step Solution

1. Step 1: Write the proportion equation
   49,582 : 109,223 = 109,223 : x
2. Step 2: Convert to fraction form
   49,582/109,223 = 109,223/x
3. Step 3: Cross multiply
   49,582x = 109,223 × 109,223
4. Step 4: Simplify right side
   49,582x = 11,929,663,729
5. Step 5: Solve for x
   x = 11,929,663,729/49,582
6. Step 6: Final answer
   x = 240,604.73