Finding the Third Proportional to 252,624 and 381,558.75

Step by Step Solution

1. Step 1: Write the proportion equation
   252,624 : 381,558.75 = 381,558.75 : x
2. Step 2: Convert to fraction form
   252,624/381,558.75 = 381,558.75/x
3. Step 3: Cross multiply
   252,624x = 381,558.75 × 381,558.75
4. Step 4: Simplify right side
   252,624x = 145,587,079,701.56
5. Step 5: Solve for x
   x = 145,587,079,701.56/252,624
6. Step 6: Final answer
   x = 576,299.48