Finding the Third Proportional to 238,568 and 514,500

Step by Step Solution

1. Step 1: Write the proportion equation
   238,568 : 514,500 = 514,500 : x
2. Step 2: Convert to fraction form
   238,568/514,500 = 514,500/x
3. Step 3: Cross multiply
   238,568x = 514,500 × 514,500
4. Step 4: Simplify right side
   238,568x = 264,710,250,000
5. Step 5: Solve for x
   x = 264,710,250,000/238,568
6. Step 6: Final answer
   x = 1,109,579.87