Finding the Third Proportional to 117,844 and 254,514

Step by Step Solution

1. Step 1: Write the proportion equation
   117,844 : 254,514 = 254,514 : x
2. Step 2: Convert to fraction form
   117,844/254,514 = 254,514/x
3. Step 3: Cross multiply
   117,844x = 254,514 × 254,514
4. Step 4: Simplify right side
   117,844x = 64,777,376,196
5. Step 5: Solve for x
   x = 64,777,376,196/117,844
6. Step 6: Final answer
   x = 549,687.52