Finding the Third Proportional to 111,407 and 256,514

Step by Step Solution

1. Step 1: Write the proportion equation
   111,407 : 256,514 = 256,514 : x
2. Step 2: Convert to fraction form
   111,407/256,514 = 256,514/x
3. Step 3: Cross multiply
   111,407x = 256,514 × 256,514
4. Step 4: Simplify right side
   111,407x = 65,799,432,196
5. Step 5: Solve for x
   x = 65,799,432,196/111,407
6. Step 6: Final answer
   x = 590,622.06