Finding the Third Proportional to 123,363 and 264,216

Step by Step Solution

1. Step 1: Write the proportion equation
   123,363 : 264,216 = 264,216 : x
2. Step 2: Convert to fraction form
   123,363/264,216 = 264,216/x
3. Step 3: Cross multiply
   123,363x = 264,216 × 264,216
4. Step 4: Simplify right side
   123,363x = 69,810,094,656
5. Step 5: Solve for x
   x = 69,810,094,656/123,363
6. Step 6: Final answer
   x = 565,891.67