Finding the Third Proportional to 288,945 and 383,499

Step by Step Solution

1. Step 1: Write the proportion equation
   288,945 : 383,499 = 383,499 : x
2. Step 2: Convert to fraction form
   288,945/383,499 = 383,499/x
3. Step 3: Cross multiply
   288,945x = 383,499 × 383,499
4. Step 4: Simplify right side
   288,945x = 147,071,483,001
5. Step 5: Solve for x
   x = 147,071,483,001/288,945
6. Step 6: Final answer
   x = 508,994.73