Finding the Third Proportional to 49,586 and 109,000

Step by Step Solution

1. Step 1: Write the proportion equation
   49,586 : 109,000 = 109,000 : x
2. Step 2: Convert to fraction form
   49,586/109,000 = 109,000/x
3. Step 3: Cross multiply
   49,586x = 109,000 × 109,000
4. Step 4: Simplify right side
   49,586x = 11,881,000,000
5. Step 5: Solve for x
   x = 11,881,000,000/49,586
6. Step 6: Final answer
   x = 239,603.92