Finding the Third Proportional to 109,033.50 and 154,622.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,033.50 : 154,622.25 = 154,622.25 : x
2. Step 2: Convert to fraction form
   109,033.50/154,622.25 = 154,622.25/x
3. Step 3: Cross multiply
   109,033.50x = 154,622.25 × 154,622.25
4. Step 4: Simplify right side
   109,033.50x = 23,908,040,195.06
5. Step 5: Solve for x
   x = 23,908,040,195.06/109,033.50
6. Step 6: Final answer
   x = 219,272.43