Finding the Third Proportional to 109,162.25 and 173,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,162.25 : 173,585.25 = 173,585.25 : x
2. Step 2: Convert to fraction form
   109,162.25/173,585.25 = 173,585.25/x
3. Step 3: Cross multiply
   109,162.25x = 173,585.25 × 173,585.25
4. Step 4: Simplify right side
   109,162.25x = 30,131,839,017.56
5. Step 5: Solve for x
   x = 30,131,839,017.56/109,162.25
6. Step 6: Final answer
   x = 276,028.01