Finding the Third Proportional to 85,870 and 188,144

Step by Step Solution

1. Step 1: Write the proportion equation
   85,870 : 188,144 = 188,144 : x
2. Step 2: Convert to fraction form
   85,870/188,144 = 188,144/x
3. Step 3: Cross multiply
   85,870x = 188,144 × 188,144
4. Step 4: Simplify right side
   85,870x = 35,398,164,736
5. Step 5: Solve for x
   x = 35,398,164,736/85,870
6. Step 6: Final answer
   x = 412,229.70