Finding the Third Proportional to 51,509 and 112,858

Step by Step Solution

1. Step 1: Write the proportion equation
   51,509 : 112,858 = 112,858 : x
2. Step 2: Convert to fraction form
   51,509/112,858 = 112,858/x
3. Step 3: Cross multiply
   51,509x = 112,858 × 112,858
4. Step 4: Simplify right side
   51,509x = 12,736,928,164
5. Step 5: Solve for x
   x = 12,736,928,164/51,509
6. Step 6: Final answer
   x = 247,275.78