Finding the Third Proportional to 113,738 and 172,173

Step by Step Solution

1. Step 1: Write the proportion equation
   113,738 : 172,173 = 172,173 : x
2. Step 2: Convert to fraction form
   113,738/172,173 = 172,173/x
3. Step 3: Cross multiply
   113,738x = 172,173 × 172,173
4. Step 4: Simplify right side
   113,738x = 29,643,541,929
5. Step 5: Solve for x
   x = 29,643,541,929/113,738
6. Step 6: Final answer
   x = 260,630.06