Finding the Third Proportional to 252,651 and 381,608.75

Step by Step Solution

1. Step 1: Write the proportion equation
   252,651 : 381,608.75 = 381,608.75 : x
2. Step 2: Convert to fraction form
   252,651/381,608.75 = 381,608.75/x
3. Step 3: Cross multiply
   252,651x = 381,608.75 × 381,608.75
4. Step 4: Simplify right side
   252,651x = 145,625,238,076.56
5. Step 5: Solve for x
   x = 145,625,238,076.56/252,651
6. Step 6: Final answer
   x = 576,388.92