Finding the Third Proportional to 123,174 and 264,766

Step by Step Solution

1. Step 1: Write the proportion equation
   123,174 : 264,766 = 264,766 : x
2. Step 2: Convert to fraction form
   123,174/264,766 = 264,766/x
3. Step 3: Cross multiply
   123,174x = 264,766 × 264,766
4. Step 4: Simplify right side
   123,174x = 70,101,034,756
5. Step 5: Solve for x
   x = 70,101,034,756/123,174
6. Step 6: Final answer
   x = 569,122.01