Finding the Third Proportional to 109,514 and 234,580

Step by Step Solution

1. Step 1: Write the proportion equation
   109,514 : 234,580 = 234,580 : x
2. Step 2: Convert to fraction form
   109,514/234,580 = 234,580/x
3. Step 3: Cross multiply
   109,514x = 234,580 × 234,580
4. Step 4: Simplify right side
   109,514x = 55,027,776,400
5. Step 5: Solve for x
   x = 55,027,776,400/109,514
6. Step 6: Final answer
   x = 502,472.53