Finding the Third Proportional to 250,410 and 387,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   250,410 : 387,765.50 = 387,765.50 : x
2. Step 2: Convert to fraction form
   250,410/387,765.50 = 387,765.50/x
3. Step 3: Cross multiply
   250,410x = 387,765.50 × 387,765.50
4. Step 4: Simplify right side
   250,410x = 150,362,082,990.25
5. Step 5: Solve for x
   x = 150,362,082,990.25/250,410
6. Step 6: Final answer
   x = 600,463.57