Finding the Third Proportional to 109,641.56 and 164,016.19

Step by Step Solution

1. Step 1: Write the proportion equation
   109,641.56 : 164,016.19 = 164,016.19 : x
2. Step 2: Convert to fraction form
   109,641.56/164,016.19 = 164,016.19/x
3. Step 3: Cross multiply
   109,641.56x = 164,016.19 × 164,016.19
4. Step 4: Simplify right side
   109,641.56x = 26,901,309,762.04
5. Step 5: Solve for x
   x = 26,901,309,762.04/109,641.56
6. Step 6: Final answer
   x = 245,356.86