Finding the Third Proportional to 123,170 and 264,757

Step by Step Solution

1. Step 1: Write the proportion equation
   123,170 : 264,757 = 264,757 : x
2. Step 2: Convert to fraction form
   123,170/264,757 = 264,757/x
3. Step 3: Cross multiply
   123,170x = 264,757 × 264,757
4. Step 4: Simplify right side
   123,170x = 70,096,269,049
5. Step 5: Solve for x
   x = 70,096,269,049/123,170
6. Step 6: Final answer
   x = 569,101.80