Finding the Third Proportional to 51,619 and 113,384

Step by Step Solution

1. Step 1: Write the proportion equation
   51,619 : 113,384 = 113,384 : x
2. Step 2: Convert to fraction form
   51,619/113,384 = 113,384/x
3. Step 3: Cross multiply
   51,619x = 113,384 × 113,384
4. Step 4: Simplify right side
   51,619x = 12,855,931,456
5. Step 5: Solve for x
   x = 12,855,931,456/51,619
6. Step 6: Final answer
   x = 249,054.25