Finding the Third Proportional to 116,138 and 254,419

Step by Step Solution

1. Step 1: Write the proportion equation
   116,138 : 254,419 = 254,419 : x
2. Step 2: Convert to fraction form
   116,138/254,419 = 254,419/x
3. Step 3: Cross multiply
   116,138x = 254,419 × 254,419
4. Step 4: Simplify right side
   116,138x = 64,729,027,561
5. Step 5: Solve for x
   x = 64,729,027,561/116,138
6. Step 6: Final answer
   x = 557,345.81