Finding the Third Proportional to 142,056 and 289,008

Step by Step Solution

1. Step 1: Write the proportion equation
   142,056 : 289,008 = 289,008 : x
2. Step 2: Convert to fraction form
   142,056/289,008 = 289,008/x
3. Step 3: Cross multiply
   142,056x = 289,008 × 289,008
4. Step 4: Simplify right side
   142,056x = 83,525,624,064
5. Step 5: Solve for x
   x = 83,525,624,064/142,056
6. Step 6: Final answer
   x = 587,976.74