Finding the Third Proportional to 238,744 and 514,846

Step by Step Solution

1. Step 1: Write the proportion equation
   238,744 : 514,846 = 514,846 : x
2. Step 2: Convert to fraction form
   238,744/514,846 = 514,846/x
3. Step 3: Cross multiply
   238,744x = 514,846 × 514,846
4. Step 4: Simplify right side
   238,744x = 265,066,403,716
5. Step 5: Solve for x
   x = 265,066,403,716/238,744
6. Step 6: Final answer
   x = 1,110,253.68