Finding the Third Proportional to 288,966 and 383,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,966 : 383,428.50 = 383,428.50 : x
2. Step 2: Convert to fraction form
   288,966/383,428.50 = 383,428.50/x
3. Step 3: Cross multiply
   288,966x = 383,428.50 × 383,428.50
4. Step 4: Simplify right side
   288,966x = 147,017,414,612.25
5. Step 5: Solve for x
   x = 147,017,414,612.25/288,966
6. Step 6: Final answer
   x = 508,770.63