Finding the Third Proportional to 108,974 and 169,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,974 : 169,616.50 = 169,616.50 : x
2. Step 2: Convert to fraction form
   108,974/169,616.50 = 169,616.50/x
3. Step 3: Cross multiply
   108,974x = 169,616.50 × 169,616.50
4. Step 4: Simplify right side
   108,974x = 28,769,757,072.25
5. Step 5: Solve for x
   x = 28,769,757,072.25/108,974
6. Step 6: Final answer
   x = 264,005.70