Finding the Third Proportional to 51,588 and 111,846

Step by Step Solution

1. Step 1: Write the proportion equation
   51,588 : 111,846 = 111,846 : x
2. Step 2: Convert to fraction form
   51,588/111,846 = 111,846/x
3. Step 3: Cross multiply
   51,588x = 111,846 × 111,846
4. Step 4: Simplify right side
   51,588x = 12,509,527,716
5. Step 5: Solve for x
   x = 12,509,527,716/51,588
6. Step 6: Final answer
   x = 242,489.10