Finding the Third Proportional to 232,831.50 and 511,386

Step by Step Solution

1. Step 1: Write the proportion equation
   232,831.50 : 511,386 = 511,386 : x
2. Step 2: Convert to fraction form
   232,831.50/511,386 = 511,386/x
3. Step 3: Cross multiply
   232,831.50x = 511,386 × 511,386
4. Step 4: Simplify right side
   232,831.50x = 261,515,640,996
5. Step 5: Solve for x
   x = 261,515,640,996/232,831.50
6. Step 6: Final answer
   x = 1,123,196.99