Finding the Third Proportional to 233,788.50 and 511,314

Step by Step Solution

1. Step 1: Write the proportion equation
   233,788.50 : 511,314 = 511,314 : x
2. Step 2: Convert to fraction form
   233,788.50/511,314 = 511,314/x
3. Step 3: Cross multiply
   233,788.50x = 511,314 × 511,314
4. Step 4: Simplify right side
   233,788.50x = 261,442,006,596
5. Step 5: Solve for x
   x = 261,442,006,596/233,788.50
6. Step 6: Final answer
   x = 1,118,284.29