Finding the Third Proportional to 233,794.50 and 511,338

Step by Step Solution

1. Step 1: Write the proportion equation
   233,794.50 : 511,338 = 511,338 : x
2. Step 2: Convert to fraction form
   233,794.50/511,338 = 511,338/x
3. Step 3: Cross multiply
   233,794.50x = 511,338 × 511,338
4. Step 4: Simplify right side
   233,794.50x = 261,466,550,244
5. Step 5: Solve for x
   x = 261,466,550,244/233,794.50
6. Step 6: Final answer
   x = 1,118,360.57