Finding the Third Proportional to 288,953.50 and 383,409

Step by Step Solution

1. Step 1: Write the proportion equation
   288,953.50 : 383,409 = 383,409 : x
2. Step 2: Convert to fraction form
   288,953.50/383,409 = 383,409/x
3. Step 3: Cross multiply
   288,953.50x = 383,409 × 383,409
4. Step 4: Simplify right side
   288,953.50x = 147,002,461,281
5. Step 5: Solve for x
   x = 147,002,461,281/288,953.50
6. Step 6: Final answer
   x = 508,740.89