Finding the Third Proportional to 206,856 and 316,300

Step by Step Solution

1. Step 1: Write the proportion equation
   206,856 : 316,300 = 316,300 : x
2. Step 2: Convert to fraction form
   206,856/316,300 = 316,300/x
3. Step 3: Cross multiply
   206,856x = 316,300 × 316,300
4. Step 4: Simplify right side
   206,856x = 100,045,690,000
5. Step 5: Solve for x
   x = 100,045,690,000/206,856
6. Step 6: Final answer
   x = 483,648.96