Finding the Third Proportional to 113,404 and 171,382

Step by Step Solution

1. Step 1: Write the proportion equation
   113,404 : 171,382 = 171,382 : x
2. Step 2: Convert to fraction form
   113,404/171,382 = 171,382/x
3. Step 3: Cross multiply
   113,404x = 171,382 × 171,382
4. Step 4: Simplify right side
   113,404x = 29,371,789,924
5. Step 5: Solve for x
   x = 29,371,789,924/113,404
6. Step 6: Final answer
   x = 259,001.36