Finding the Third Proportional to 51,519 and 111,786

Step by Step Solution

1. Step 1: Write the proportion equation
   51,519 : 111,786 = 111,786 : x
2. Step 2: Convert to fraction form
   51,519/111,786 = 111,786/x
3. Step 3: Cross multiply
   51,519x = 111,786 × 111,786
4. Step 4: Simplify right side
   51,519x = 12,496,109,796
5. Step 5: Solve for x
   x = 12,496,109,796/51,519
6. Step 6: Final answer
   x = 242,553.42