Finding the Third Proportional to 51,502 and 112,846

Step by Step Solution

1. Step 1: Write the proportion equation
   51,502 : 112,846 = 112,846 : x
2. Step 2: Convert to fraction form
   51,502/112,846 = 112,846/x
3. Step 3: Cross multiply
   51,502x = 112,846 × 112,846
4. Step 4: Simplify right side
   51,502x = 12,734,219,716
5. Step 5: Solve for x
   x = 12,734,219,716/51,502
6. Step 6: Final answer
   x = 247,256.80