Finding the Third Proportional to 233,384.50 and 511,949

Step by Step Solution

1. Step 1: Write the proportion equation
   233,384.50 : 511,949 = 511,949 : x
2. Step 2: Convert to fraction form
   233,384.50/511,949 = 511,949/x
3. Step 3: Cross multiply
   233,384.50x = 511,949 × 511,949
4. Step 4: Simplify right side
   233,384.50x = 262,091,778,601
5. Step 5: Solve for x
   x = 262,091,778,601/233,384.50
6. Step 6: Final answer
   x = 1,123,004.22