Finding the Third Proportional to 109,164 and 173,588

Step by Step Solution

1. Step 1: Write the proportion equation
   109,164 : 173,588 = 173,588 : x
2. Step 2: Convert to fraction form
   109,164/173,588 = 173,588/x
3. Step 3: Cross multiply
   109,164x = 173,588 × 173,588
4. Step 4: Simplify right side
   109,164x = 30,132,793,744
5. Step 5: Solve for x
   x = 30,132,793,744/109,164
6. Step 6: Final answer
   x = 276,032.33