Finding the Third Proportional to 509,304 and 764,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   509,304 : 764,017.50 = 764,017.50 : x
2. Step 2: Convert to fraction form
   509,304/764,017.50 = 764,017.50/x
3. Step 3: Cross multiply
   509,304x = 764,017.50 × 764,017.50
4. Step 4: Simplify right side
   509,304x = 583,722,740,306.25
5. Step 5: Solve for x
   x = 583,722,740,306.25/509,304
6. Step 6: Final answer
   x = 1,146,118.51