Finding the Third Proportional to 109,269 and 164,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,269 : 164,908.50 = 164,908.50 : x
2. Step 2: Convert to fraction form
   109,269/164,908.50 = 164,908.50/x
3. Step 3: Cross multiply
   109,269x = 164,908.50 × 164,908.50
4. Step 4: Simplify right side
   109,269x = 27,194,813,372.25
5. Step 5: Solve for x
   x = 27,194,813,372.25/109,269
6. Step 6: Final answer
   x = 248,879.49