Finding the Third Proportional to 282,066 and 587,460

Step by Step Solution

1. Step 1: Write the proportion equation
   282,066 : 587,460 = 587,460 : x
2. Step 2: Convert to fraction form
   282,066/587,460 = 587,460/x
3. Step 3: Cross multiply
   282,066x = 587,460 × 587,460
4. Step 4: Simplify right side
   282,066x = 345,109,251,600
5. Step 5: Solve for x
   x = 345,109,251,600/282,066
6. Step 6: Final answer
   x = 1,223,505.32