Finding the Third Proportional to 320,456 and 502,680

Step by Step Solution

1. Step 1: Write the proportion equation
   320,456 : 502,680 = 502,680 : x
2. Step 2: Convert to fraction form
   320,456/502,680 = 502,680/x
3. Step 3: Cross multiply
   320,456x = 502,680 × 502,680
4. Step 4: Simplify right side
   320,456x = 252,687,182,400
5. Step 5: Solve for x
   x = 252,687,182,400/320,456
6. Step 6: Final answer
   x = 788,523.80