Finding the Third Proportional to 114,380 and 173,514

Step by Step Solution

1. Step 1: Write the proportion equation
   114,380 : 173,514 = 173,514 : x
2. Step 2: Convert to fraction form
   114,380/173,514 = 173,514/x
3. Step 3: Cross multiply
   114,380x = 173,514 × 173,514
4. Step 4: Simplify right side
   114,380x = 30,107,108,196
5. Step 5: Solve for x
   x = 30,107,108,196/114,380
6. Step 6: Final answer
   x = 263,220.04