Finding the Third Proportional to 288,946.50 and 383,502

Step by Step Solution

1. Step 1: Write the proportion equation
   288,946.50 : 383,502 = 383,502 : x
2. Step 2: Convert to fraction form
   288,946.50/383,502 = 383,502/x
3. Step 3: Cross multiply
   288,946.50x = 383,502 × 383,502
4. Step 4: Simplify right side
   288,946.50x = 147,073,784,004
5. Step 5: Solve for x
   x = 147,073,784,004/288,946.50
6. Step 6: Final answer
   x = 509,000.05