Finding the Third Proportional to 123,896 and 265,280

Step by Step Solution

1. Step 1: Write the proportion equation
   123,896 : 265,280 = 265,280 : x
2. Step 2: Convert to fraction form
   123,896/265,280 = 265,280/x
3. Step 3: Cross multiply
   123,896x = 265,280 × 265,280
4. Step 4: Simplify right side
   123,896x = 70,373,478,400
5. Step 5: Solve for x
   x = 70,373,478,400/123,896
6. Step 6: Final answer
   x = 568,004.44