Finding the Third Proportional to 123,776 and 264,256

Step by Step Solution

1. Step 1: Write the proportion equation
   123,776 : 264,256 = 264,256 : x
2. Step 2: Convert to fraction form
   123,776/264,256 = 264,256/x
3. Step 3: Cross multiply
   123,776x = 264,256 × 264,256
4. Step 4: Simplify right side
   123,776x = 69,831,233,536
5. Step 5: Solve for x
   x = 69,831,233,536/123,776
6. Step 6: Final answer
   x = 564,174.26