Finding the Third Proportional to 49,582 and 109,046

Step by Step Solution

1. Step 1: Write the proportion equation
   49,582 : 109,046 = 109,046 : x
2. Step 2: Convert to fraction form
   49,582/109,046 = 109,046/x
3. Step 3: Cross multiply
   49,582x = 109,046 × 109,046
4. Step 4: Simplify right side
   49,582x = 11,891,030,116
5. Step 5: Solve for x
   x = 11,891,030,116/49,582
6. Step 6: Final answer
   x = 239,825.54