Finding the Third Proportional to 109,224 and 169,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   109,224 : 169,665.75 = 169,665.75 : x
2. Step 2: Convert to fraction form
   109,224/169,665.75 = 169,665.75/x
3. Step 3: Cross multiply
   109,224x = 169,665.75 × 169,665.75
4. Step 4: Simplify right side
   109,224x = 28,786,466,723.06
5. Step 5: Solve for x
   x = 28,786,466,723.06/109,224
6. Step 6: Final answer
   x = 263,554.41