Finding the Third Proportional to 321,012 and 508,752

Step by Step Solution

1. Step 1: Write the proportion equation
   321,012 : 508,752 = 508,752 : x
2. Step 2: Convert to fraction form
   321,012/508,752 = 508,752/x
3. Step 3: Cross multiply
   321,012x = 508,752 × 508,752
4. Step 4: Simplify right side
   321,012x = 258,828,597,504
5. Step 5: Solve for x
   x = 258,828,597,504/321,012
6. Step 6: Final answer
   x = 806,289.48