Finding the Third Proportional to 113,200 and 165,789

Step by Step Solution

1. Step 1: Write the proportion equation
   113,200 : 165,789 = 165,789 : x
2. Step 2: Convert to fraction form
   113,200/165,789 = 165,789/x
3. Step 3: Cross multiply
   113,200x = 165,789 × 165,789
4. Step 4: Simplify right side
   113,200x = 27,485,992,521
5. Step 5: Solve for x
   x = 27,485,992,521/113,200
6. Step 6: Final answer
   x = 242,809.12