Finding the Third Proportional to 53,282 and 123,028

Step by Step Solution

1. Step 1: Write the proportion equation
   53,282 : 123,028 = 123,028 : x
2. Step 2: Convert to fraction form
   53,282/123,028 = 123,028/x
3. Step 3: Cross multiply
   53,282x = 123,028 × 123,028
4. Step 4: Simplify right side
   53,282x = 15,135,888,784
5. Step 5: Solve for x
   x = 15,135,888,784/53,282
6. Step 6: Final answer
   x = 284,071.33