Finding the Third Proportional to 113,400 and 166,636

Step by Step Solution

1. Step 1: Write the proportion equation
   113,400 : 166,636 = 166,636 : x
2. Step 2: Convert to fraction form
   113,400/166,636 = 166,636/x
3. Step 3: Cross multiply
   113,400x = 166,636 × 166,636
4. Step 4: Simplify right side
   113,400x = 27,767,556,496
5. Step 5: Solve for x
   x = 27,767,556,496/113,400
6. Step 6: Final answer
   x = 244,863.81