Finding the Third Proportional to 113,184 and 166,464

Step by Step Solution

1. Step 1: Write the proportion equation
   113,184 : 166,464 = 166,464 : x
2. Step 2: Convert to fraction form
   113,184/166,464 = 166,464/x
3. Step 3: Cross multiply
   113,184x = 166,464 × 166,464
4. Step 4: Simplify right side
   113,184x = 27,710,263,296
5. Step 5: Solve for x
   x = 27,710,263,296/113,184
6. Step 6: Final answer
   x = 244,824.92