Finding the Third Proportional to 111,971.25 and 169,734

Step by Step Solution

1. Step 1: Write the proportion equation
   111,971.25 : 169,734 = 169,734 : x
2. Step 2: Convert to fraction form
   111,971.25/169,734 = 169,734/x
3. Step 3: Cross multiply
   111,971.25x = 169,734 × 169,734
4. Step 4: Simplify right side
   111,971.25x = 28,809,630,756
5. Step 5: Solve for x
   x = 28,809,630,756/111,971.25
6. Step 6: Final answer
   x = 257,294.89