Finding the Third Proportional to 109,184 and 166,912

Step by Step Solution

1. Step 1: Write the proportion equation
   109,184 : 166,912 = 166,912 : x
2. Step 2: Convert to fraction form
   109,184/166,912 = 166,912/x
3. Step 3: Cross multiply
   109,184x = 166,912 × 166,912
4. Step 4: Simplify right side
   109,184x = 27,859,615,744
5. Step 5: Solve for x
   x = 27,859,615,744/109,184
6. Step 6: Final answer
   x = 255,162.07