Finding the Third Proportional to 288,952.50 and 383,406

Step by Step Solution

1. Step 1: Write the proportion equation
   288,952.50 : 383,406 = 383,406 : x
2. Step 2: Convert to fraction form
   288,952.50/383,406 = 383,406/x
3. Step 3: Cross multiply
   288,952.50x = 383,406 × 383,406
4. Step 4: Simplify right side
   288,952.50x = 147,000,160,836
5. Step 5: Solve for x
   x = 147,000,160,836/288,952.50
6. Step 6: Final answer
   x = 508,734.69