Finding the Third Proportional to 81,886 and 173,613

Step by Step Solution

1. Step 1: Write the proportion equation
   81,886 : 173,613 = 173,613 : x
2. Step 2: Convert to fraction form
   81,886/173,613 = 173,613/x
3. Step 3: Cross multiply
   81,886x = 173,613 × 173,613
4. Step 4: Simplify right side
   81,886x = 30,141,473,769
5. Step 5: Solve for x
   x = 30,141,473,769/81,886
6. Step 6: Final answer
   x = 368,090.68