Finding the Third Proportional to 224,757 and 511,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,757 : 511,870.50 = 511,870.50 : x
2. Step 2: Convert to fraction form
   224,757/511,870.50 = 511,870.50/x
3. Step 3: Cross multiply
   224,757x = 511,870.50 × 511,870.50
4. Step 4: Simplify right side
   224,757x = 262,011,408,770.25
5. Step 5: Solve for x
   x = 262,011,408,770.25/224,757
6. Step 6: Final answer
   x = 1,165,754.16