Finding the Third Proportional to 123,125 and 264,640

Step by Step Solution

1. Step 1: Write the proportion equation
   123,125 : 264,640 = 264,640 : x
2. Step 2: Convert to fraction form
   123,125/264,640 = 264,640/x
3. Step 3: Cross multiply
   123,125x = 264,640 × 264,640
4. Step 4: Simplify right side
   123,125x = 70,034,329,600
5. Step 5: Solve for x
   x = 70,034,329,600/123,125
6. Step 6: Final answer
   x = 568,806.74