Finding the Third Proportional to 171,308 and 263,514

Step by Step Solution

1. Step 1: Write the proportion equation
   171,308 : 263,514 = 263,514 : x
2. Step 2: Convert to fraction form
   171,308/263,514 = 263,514/x
3. Step 3: Cross multiply
   171,308x = 263,514 × 263,514
4. Step 4: Simplify right side
   171,308x = 69,439,628,196
5. Step 5: Solve for x
   x = 69,439,628,196/171,308
6. Step 6: Final answer
   x = 405,349.59