Finding the Third Proportional to 113,344 and 166,112

Step by Step Solution

1. Step 1: Write the proportion equation
   113,344 : 166,112 = 166,112 : x
2. Step 2: Convert to fraction form
   113,344/166,112 = 166,112/x
3. Step 3: Cross multiply
   113,344x = 166,112 × 166,112
4. Step 4: Simplify right side
   113,344x = 27,593,196,544
5. Step 5: Solve for x
   x = 27,593,196,544/113,344
6. Step 6: Final answer
   x = 243,446.47