Finding the Third Proportional to 49,586 and 109,014

Step by Step Solution

1. Step 1: Write the proportion equation
   49,586 : 109,014 = 109,014 : x
2. Step 2: Convert to fraction form
   49,586/109,014 = 109,014/x
3. Step 3: Cross multiply
   49,586x = 109,014 × 109,014
4. Step 4: Simplify right side
   49,586x = 11,884,052,196
5. Step 5: Solve for x
   x = 11,884,052,196/49,586
6. Step 6: Final answer
   x = 239,665.47