Finding the Third Proportional to 233,368 and 511,936

Step by Step Solution

1. Step 1: Write the proportion equation
   233,368 : 511,936 = 511,936 : x
2. Step 2: Convert to fraction form
   233,368/511,936 = 511,936/x
3. Step 3: Cross multiply
   233,368x = 511,936 × 511,936
4. Step 4: Simplify right side
   233,368x = 262,078,468,096
5. Step 5: Solve for x
   x = 262,078,468,096/233,368
6. Step 6: Final answer
   x = 1,123,026.59