Finding the Third Proportional to 123,363 and 264,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,363 : 264,208.50 = 264,208.50 : x
2. Step 2: Convert to fraction form
   123,363/264,208.50 = 264,208.50/x
3. Step 3: Cross multiply
   123,363x = 264,208.50 × 264,208.50
4. Step 4: Simplify right side
   123,363x = 69,806,131,472.25
5. Step 5: Solve for x
   x = 69,806,131,472.25/123,363
6. Step 6: Final answer
   x = 565,859.55