Finding the Third Proportional to 144,892 and 315,527

Step by Step Solution

1. Step 1: Write the proportion equation
   144,892 : 315,527 = 315,527 : x
2. Step 2: Convert to fraction form
   144,892/315,527 = 315,527/x
3. Step 3: Cross multiply
   144,892x = 315,527 × 315,527
4. Step 4: Simplify right side
   144,892x = 99,557,287,729
5. Step 5: Solve for x
   x = 99,557,287,729/144,892
6. Step 6: Final answer
   x = 687,113.77