Finding the Third Proportional to 107,313.75 and 166,019.06

Step by Step Solution

1. Step 1: Write the proportion equation
   107,313.75 : 166,019.06 = 166,019.06 : x
2. Step 2: Convert to fraction form
   107,313.75/166,019.06 = 166,019.06/x
3. Step 3: Cross multiply
   107,313.75x = 166,019.06 × 166,019.06
4. Step 4: Simplify right side
   107,313.75x = 27,562,329,113.38
5. Step 5: Solve for x
   x = 27,562,329,113.38/107,313.75
6. Step 6: Final answer
   x = 256,838.75