Finding the Third Proportional to 109,198.50 and 164,567.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,198.50 : 164,567.25 = 164,567.25 : x
2. Step 2: Convert to fraction form
   109,198.50/164,567.25 = 164,567.25/x
3. Step 3: Cross multiply
   109,198.50x = 164,567.25 × 164,567.25
4. Step 4: Simplify right side
   109,198.50x = 27,082,379,772.56
5. Step 5: Solve for x
   x = 27,082,379,772.56/109,198.50
6. Step 6: Final answer
   x = 248,010.55