Finding the Third Proportional to 49,635 and 109,089

Step by Step Solution

1. Step 1: Write the proportion equation
   49,635 : 109,089 = 109,089 : x
2. Step 2: Convert to fraction form
   49,635/109,089 = 109,089/x
3. Step 3: Cross multiply
   49,635x = 109,089 × 109,089
4. Step 4: Simplify right side
   49,635x = 11,900,409,921
5. Step 5: Solve for x
   x = 11,900,409,921/49,635
6. Step 6: Final answer
   x = 239,758.43