Finding the Third Proportional to 188,892 and 285,156

Step by Step Solution

1. Step 1: Write the proportion equation
   188,892 : 285,156 = 285,156 : x
2. Step 2: Convert to fraction form
   188,892/285,156 = 285,156/x
3. Step 3: Cross multiply
   188,892x = 285,156 × 285,156
4. Step 4: Simplify right side
   188,892x = 81,313,944,336
5. Step 5: Solve for x
   x = 81,313,944,336/188,892
6. Step 6: Final answer
   x = 430,478.50