Finding the Third Proportional to 84,892 and 175,164

Step by Step Solution

1. Step 1: Write the proportion equation
   84,892 : 175,164 = 175,164 : x
2. Step 2: Convert to fraction form
   84,892/175,164 = 175,164/x
3. Step 3: Cross multiply
   84,892x = 175,164 × 175,164
4. Step 4: Simplify right side
   84,892x = 30,682,426,896
5. Step 5: Solve for x
   x = 30,682,426,896/84,892
6. Step 6: Final answer
   x = 361,428.96