Finding the Third Proportional to 113,562 and 166,212

Step by Step Solution

1. Step 1: Write the proportion equation
   113,562 : 166,212 = 166,212 : x
2. Step 2: Convert to fraction form
   113,562/166,212 = 166,212/x
3. Step 3: Cross multiply
   113,562x = 166,212 × 166,212
4. Step 4: Simplify right side
   113,562x = 27,626,428,944
5. Step 5: Solve for x
   x = 27,626,428,944/113,562
6. Step 6: Final answer
   x = 243,271.77