Finding the Third Proportional to 53,326 and 123,451

Step by Step Solution

1. Step 1: Write the proportion equation
   53,326 : 123,451 = 123,451 : x
2. Step 2: Convert to fraction form
   53,326/123,451 = 123,451/x
3. Step 3: Cross multiply
   53,326x = 123,451 × 123,451
4. Step 4: Simplify right side
   53,326x = 15,240,149,401
5. Step 5: Solve for x
   x = 15,240,149,401/53,326
6. Step 6: Final answer
   x = 285,792.10