Finding the Third Proportional to 284,112 and 578,016

Step by Step Solution

1. Step 1: Write the proportion equation
   284,112 : 578,016 = 578,016 : x
2. Step 2: Convert to fraction form
   284,112/578,016 = 578,016/x
3. Step 3: Cross multiply
   284,112x = 578,016 × 578,016
4. Step 4: Simplify right side
   284,112x = 334,102,496,256
5. Step 5: Solve for x
   x = 334,102,496,256/284,112
6. Step 6: Final answer
   x = 1,175,953.48