Finding the Third Proportional to 188,680 and 278,700

Step by Step Solution

1. Step 1: Write the proportion equation
   188,680 : 278,700 = 278,700 : x
2. Step 2: Convert to fraction form
   188,680/278,700 = 278,700/x
3. Step 3: Cross multiply
   188,680x = 278,700 × 278,700
4. Step 4: Simplify right side
   188,680x = 77,673,690,000
5. Step 5: Solve for x
   x = 77,673,690,000/188,680
6. Step 6: Final answer
   x = 411,668.91