Finding the Third Proportional to 54,018 and 117,783

Step by Step Solution

1. Step 1: Write the proportion equation
   54,018 : 117,783 = 117,783 : x
2. Step 2: Convert to fraction form
   54,018/117,783 = 117,783/x
3. Step 3: Cross multiply
   54,018x = 117,783 × 117,783
4. Step 4: Simplify right side
   54,018x = 13,872,835,089
5. Step 5: Solve for x
   x = 13,872,835,089/54,018
6. Step 6: Final answer
   x = 256,818.75