Finding the Third Proportional to 81,884 and 173,609

Step by Step Solution

1. Step 1: Write the proportion equation
   81,884 : 173,609 = 173,609 : x
2. Step 2: Convert to fraction form
   81,884/173,609 = 173,609/x
3. Step 3: Cross multiply
   81,884x = 173,609 × 173,609
4. Step 4: Simplify right side
   81,884x = 30,140,084,881
5. Step 5: Solve for x
   x = 30,140,084,881/81,884
6. Step 6: Final answer
   x = 368,082.71