Finding the Third Proportional to 116,494 and 254,797

Step by Step Solution

1. Step 1: Write the proportion equation
   116,494 : 254,797 = 254,797 : x
2. Step 2: Convert to fraction form
   116,494/254,797 = 254,797/x
3. Step 3: Cross multiply
   116,494x = 254,797 × 254,797
4. Step 4: Simplify right side
   116,494x = 64,921,511,209
5. Step 5: Solve for x
   x = 64,921,511,209/116,494
6. Step 6: Final answer
   x = 557,294.89