Finding the Third Proportional to 116,494.50 and 254,799

Step by Step Solution

1. Step 1: Write the proportion equation
   116,494.50 : 254,799 = 254,799 : x
2. Step 2: Convert to fraction form
   116,494.50/254,799 = 254,799/x
3. Step 3: Cross multiply
   116,494.50x = 254,799 × 254,799
4. Step 4: Simplify right side
   116,494.50x = 64,922,530,401
5. Step 5: Solve for x
   x = 64,922,530,401/116,494.50
6. Step 6: Final answer
   x = 557,301.25