Finding the Third Proportional to 109,132.50 and 164,104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,132.50 : 164,104.50 = 164,104.50 : x
2. Step 2: Convert to fraction form
   109,132.50/164,104.50 = 164,104.50/x
3. Step 3: Cross multiply
   109,132.50x = 164,104.50 × 164,104.50
4. Step 4: Simplify right side
   109,132.50x = 26,930,286,920.25
5. Step 5: Solve for x
   x = 26,930,286,920.25/109,132.50
6. Step 6: Final answer
   x = 246,766.88