Finding the Third Proportional to 288,940.50 and 383,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,940.50 : 383,494.50 = 383,494.50 : x
2. Step 2: Convert to fraction form
   288,940.50/383,494.50 = 383,494.50/x
3. Step 3: Cross multiply
   288,940.50x = 383,494.50 × 383,494.50
4. Step 4: Simplify right side
   288,940.50x = 147,068,031,530.25
5. Step 5: Solve for x
   x = 147,068,031,530.25/288,940.50
6. Step 6: Final answer
   x = 508,990.71