Finding the Third Proportional to 113,256 and 166,595

Step by Step Solution

1. Step 1: Write the proportion equation
   113,256 : 166,595 = 166,595 : x
2. Step 2: Convert to fraction form
   113,256/166,595 = 166,595/x
3. Step 3: Cross multiply
   113,256x = 166,595 × 166,595
4. Step 4: Simplify right side
   113,256x = 27,753,894,025
5. Step 5: Solve for x
   x = 27,753,894,025/113,256
6. Step 6: Final answer
   x = 245,054.51