Finding the Third Proportional to 113,188 and 158,644

Step by Step Solution

1. Step 1: Write the proportion equation
   113,188 : 158,644 = 158,644 : x
2. Step 2: Convert to fraction form
   113,188/158,644 = 158,644/x
3. Step 3: Cross multiply
   113,188x = 158,644 × 158,644
4. Step 4: Simplify right side
   113,188x = 25,167,918,736
5. Step 5: Solve for x
   x = 25,167,918,736/113,188
6. Step 6: Final answer
   x = 222,355.01