Finding the Third Proportional to 81,689 and 173,458

Step by Step Solution

1. Step 1: Write the proportion equation
   81,689 : 173,458 = 173,458 : x
2. Step 2: Convert to fraction form
   81,689/173,458 = 173,458/x
3. Step 3: Cross multiply
   81,689x = 173,458 × 173,458
4. Step 4: Simplify right side
   81,689x = 30,087,677,764
5. Step 5: Solve for x
   x = 30,087,677,764/81,689
6. Step 6: Final answer
   x = 368,319.82