Finding the Third Proportional to 279,993 and 378,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   279,993 : 378,517.50 = 378,517.50 : x
2. Step 2: Convert to fraction form
   279,993/378,517.50 = 378,517.50/x
3. Step 3: Cross multiply
   279,993x = 378,517.50 × 378,517.50
4. Step 4: Simplify right side
   279,993x = 143,275,497,806.25
5. Step 5: Solve for x
   x = 143,275,497,806.25/279,993
6. Step 6: Final answer
   x = 511,711.00