Finding the Third Proportional to 51,410 and 111,208

Step by Step Solution

1. Step 1: Write the proportion equation
   51,410 : 111,208 = 111,208 : x
2. Step 2: Convert to fraction form
   51,410/111,208 = 111,208/x
3. Step 3: Cross multiply
   51,410x = 111,208 × 111,208
4. Step 4: Simplify right side
   51,410x = 12,367,219,264
5. Step 5: Solve for x
   x = 12,367,219,264/51,410
6. Step 6: Final answer
   x = 240,560.58