Finding the Third Proportional to 123,277 and 262,441

Step by Step Solution

1. Step 1: Write the proportion equation
   123,277 : 262,441 = 262,441 : x
2. Step 2: Convert to fraction form
   123,277/262,441 = 262,441/x
3. Step 3: Cross multiply
   123,277x = 262,441 × 262,441
4. Step 4: Simplify right side
   123,277x = 68,875,278,481
5. Step 5: Solve for x
   x = 68,875,278,481/123,277
6. Step 6: Final answer
   x = 558,703.40