Finding the Third Proportional to 113,672 and 172,086

Step by Step Solution

1. Step 1: Write the proportion equation
   113,672 : 172,086 = 172,086 : x
2. Step 2: Convert to fraction form
   113,672/172,086 = 172,086/x
3. Step 3: Cross multiply
   113,672x = 172,086 × 172,086
4. Step 4: Simplify right side
   113,672x = 29,613,591,396
5. Step 5: Solve for x
   x = 29,613,591,396/113,672
6. Step 6: Final answer
   x = 260,517.91