Finding the Third Proportional to 123,221 and 264,844

Step by Step Solution

1. Step 1: Write the proportion equation
   123,221 : 264,844 = 264,844 : x
2. Step 2: Convert to fraction form
   123,221/264,844 = 264,844/x
3. Step 3: Cross multiply
   123,221x = 264,844 × 264,844
4. Step 4: Simplify right side
   123,221x = 70,142,344,336
5. Step 5: Solve for x
   x = 70,142,344,336/123,221
6. Step 6: Final answer
   x = 569,240.18