Finding the Third Proportional to 51,814 and 112,854

Step by Step Solution

1. Step 1: Write the proportion equation
   51,814 : 112,854 = 112,854 : x
2. Step 2: Convert to fraction form
   51,814/112,854 = 112,854/x
3. Step 3: Cross multiply
   51,814x = 112,854 × 112,854
4. Step 4: Simplify right side
   51,814x = 12,736,025,316
5. Step 5: Solve for x
   x = 12,736,025,316/51,814
6. Step 6: Final answer
   x = 245,802.78