Finding the Third Proportional to 54,219 and 111,786

Step by Step Solution

1. Step 1: Write the proportion equation
   54,219 : 111,786 = 111,786 : x
2. Step 2: Convert to fraction form
   54,219/111,786 = 111,786/x
3. Step 3: Cross multiply
   54,219x = 111,786 × 111,786
4. Step 4: Simplify right side
   54,219x = 12,496,109,796
5. Step 5: Solve for x
   x = 12,496,109,796/54,219
6. Step 6: Final answer
   x = 230,474.74