Finding the Third Proportional to 49,629 and 109,086

Step by Step Solution

1. Step 1: Write the proportion equation
   49,629 : 109,086 = 109,086 : x
2. Step 2: Convert to fraction form
   49,629/109,086 = 109,086/x
3. Step 3: Cross multiply
   49,629x = 109,086 × 109,086
4. Step 4: Simplify right side
   49,629x = 11,899,755,396
5. Step 5: Solve for x
   x = 11,899,755,396/49,629
6. Step 6: Final answer
   x = 239,774.23