Finding the Third Proportional to 233,780 and 511,300

Step by Step Solution

1. Step 1: Write the proportion equation
   233,780 : 511,300 = 511,300 : x
2. Step 2: Convert to fraction form
   233,780/511,300 = 511,300/x
3. Step 3: Cross multiply
   233,780x = 511,300 × 511,300
4. Step 4: Simplify right side
   233,780x = 261,427,690,000
5. Step 5: Solve for x
   x = 261,427,690,000/233,780
6. Step 6: Final answer
   x = 1,118,263.71