Finding the Third Proportional to 123,513 and 269,625

Step by Step Solution

1. Step 1: Write the proportion equation
   123,513 : 269,625 = 269,625 : x
2. Step 2: Convert to fraction form
   123,513/269,625 = 269,625/x
3. Step 3: Cross multiply
   123,513x = 269,625 × 269,625
4. Step 4: Simplify right side
   123,513x = 72,697,640,625
5. Step 5: Solve for x
   x = 72,697,640,625/123,513
6. Step 6: Final answer
   x = 588,582.91