Finding the Third Proportional to 123,384 and 264,288

Step by Step Solution

1. Step 1: Write the proportion equation
   123,384 : 264,288 = 264,288 : x
2. Step 2: Convert to fraction form
   123,384/264,288 = 264,288/x
3. Step 3: Cross multiply
   123,384x = 264,288 × 264,288
4. Step 4: Simplify right side
   123,384x = 69,848,146,944
5. Step 5: Solve for x
   x = 69,848,146,944/123,384
6. Step 6: Final answer
   x = 566,103.77