Finding the Third Proportional to 240,825 and 381,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   240,825 : 381,647.50 = 381,647.50 : x
2. Step 2: Convert to fraction form
   240,825/381,647.50 = 381,647.50/x
3. Step 3: Cross multiply
   240,825x = 381,647.50 × 381,647.50
4. Step 4: Simplify right side
   240,825x = 145,654,814,256.25
5. Step 5: Solve for x
   x = 145,654,814,256.25/240,825
6. Step 6: Final answer
   x = 604,816.00