Finding the Third Proportional to 261,366 and 384,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,366 : 384,391.50 = 384,391.50 : x
2. Step 2: Convert to fraction form
   261,366/384,391.50 = 384,391.50/x
3. Step 3: Cross multiply
   261,366x = 384,391.50 × 384,391.50
4. Step 4: Simplify right side
   261,366x = 147,756,825,272.25
5. Step 5: Solve for x
   x = 147,756,825,272.25/261,366
6. Step 6: Final answer
   x = 565,325.35