Finding the Third Proportional to 109,467 and 164,995.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,467 : 164,995.50 = 164,995.50 : x
2. Step 2: Convert to fraction form
   109,467/164,995.50 = 164,995.50/x
3. Step 3: Cross multiply
   109,467x = 164,995.50 × 164,995.50
4. Step 4: Simplify right side
   109,467x = 27,223,515,020.25
5. Step 5: Solve for x
   x = 27,223,515,020.25/109,467
6. Step 6: Final answer
   x = 248,691.52