Finding the Third Proportional to 123,376 and 262,256

Step by Step Solution

1. Step 1: Write the proportion equation
   123,376 : 262,256 = 262,256 : x
2. Step 2: Convert to fraction form
   123,376/262,256 = 262,256/x
3. Step 3: Cross multiply
   123,376x = 262,256 × 262,256
4. Step 4: Simplify right side
   123,376x = 68,778,209,536
5. Step 5: Solve for x
   x = 68,778,209,536/123,376
6. Step 6: Final answer
   x = 557,468.30