Finding the Third Proportional to 113,194 and 172,250

Step by Step Solution

1. Step 1: Write the proportion equation
   113,194 : 172,250 = 172,250 : x
2. Step 2: Convert to fraction form
   113,194/172,250 = 172,250/x
3. Step 3: Cross multiply
   113,194x = 172,250 × 172,250
4. Step 4: Simplify right side
   113,194x = 29,670,062,500
5. Step 5: Solve for x
   x = 29,670,062,500/113,194
6. Step 6: Final answer
   x = 262,116.92