Finding the Third Proportional to 113,164 and 166,410

Step by Step Solution

1. Step 1: Write the proportion equation
   113,164 : 166,410 = 166,410 : x
2. Step 2: Convert to fraction form
   113,164/166,410 = 166,410/x
3. Step 3: Cross multiply
   113,164x = 166,410 × 166,410
4. Step 4: Simplify right side
   113,164x = 27,692,288,100
5. Step 5: Solve for x
   x = 27,692,288,100/113,164
6. Step 6: Final answer
   x = 244,709.34