Finding the Third Proportional to 116,164 and 254,460

Step by Step Solution

1. Step 1: Write the proportion equation
   116,164 : 254,460 = 254,460 : x
2. Step 2: Convert to fraction form
   116,164/254,460 = 254,460/x
3. Step 3: Cross multiply
   116,164x = 254,460 × 254,460
4. Step 4: Simplify right side
   116,164x = 64,749,891,600
5. Step 5: Solve for x
   x = 64,749,891,600/116,164
6. Step 6: Final answer
   x = 557,400.67