Finding the Third Proportional to 54,262 and 111,772

Step by Step Solution

1. Step 1: Write the proportion equation
   54,262 : 111,772 = 111,772 : x
2. Step 2: Convert to fraction form
   54,262/111,772 = 111,772/x
3. Step 3: Cross multiply
   54,262x = 111,772 × 111,772
4. Step 4: Simplify right side
   54,262x = 12,492,979,984
5. Step 5: Solve for x
   x = 12,492,979,984/54,262
6. Step 6: Final answer
   x = 230,234.42