Finding the Third Proportional to 238,214 and 510,976

Step by Step Solution

1. Step 1: Write the proportion equation
   238,214 : 510,976 = 510,976 : x
2. Step 2: Convert to fraction form
   238,214/510,976 = 510,976/x
3. Step 3: Cross multiply
   238,214x = 510,976 × 510,976
4. Step 4: Simplify right side
   238,214x = 261,096,472,576
5. Step 5: Solve for x
   x = 261,096,472,576/238,214
6. Step 6: Final answer
   x = 1,096,058.47