Finding the Third Proportional to 117,514 and 256,076

Step by Step Solution

1. Step 1: Write the proportion equation
   117,514 : 256,076 = 256,076 : x
2. Step 2: Convert to fraction form
   117,514/256,076 = 256,076/x
3. Step 3: Cross multiply
   117,514x = 256,076 × 256,076
4. Step 4: Simplify right side
   117,514x = 65,574,917,776
5. Step 5: Solve for x
   x = 65,574,917,776/117,514
6. Step 6: Final answer
   x = 558,017.92