Finding the Third Proportional to 114,795 and 172,308

Step by Step Solution

1. Step 1: Write the proportion equation
   114,795 : 172,308 = 172,308 : x
2. Step 2: Convert to fraction form
   114,795/172,308 = 172,308/x
3. Step 3: Cross multiply
   114,795x = 172,308 × 172,308
4. Step 4: Simplify right side
   114,795x = 29,690,046,864
5. Step 5: Solve for x
   x = 29,690,046,864/114,795
6. Step 6: Final answer
   x = 258,635.37