Finding the Third Proportional to 113,014 and 166,065

Step by Step Solution

1. Step 1: Write the proportion equation
   113,014 : 166,065 = 166,065 : x
2. Step 2: Convert to fraction form
   113,014/166,065 = 166,065/x
3. Step 3: Cross multiply
   113,014x = 166,065 × 166,065
4. Step 4: Simplify right side
   113,014x = 27,577,584,225
5. Step 5: Solve for x
   x = 27,577,584,225/113,014
6. Step 6: Final answer
   x = 244,019.19