Finding the Third Proportional to 204,068 and 321,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204,068 : 321,752.50 = 321,752.50 : x
2. Step 2: Convert to fraction form
   204,068/321,752.50 = 321,752.50/x
3. Step 3: Cross multiply
   204,068x = 321,752.50 × 321,752.50
4. Step 4: Simplify right side
   204,068x = 103,524,671,256.25
5. Step 5: Solve for x
   x = 103,524,671,256.25/204,068
6. Step 6: Final answer
   x = 507,304.78