Finding the Third Proportional to 206,925 and 316,404

Step by Step Solution

1. Step 1: Write the proportion equation
   206,925 : 316,404 = 316,404 : x
2. Step 2: Convert to fraction form
   206,925/316,404 = 316,404/x
3. Step 3: Cross multiply
   206,925x = 316,404 × 316,404
4. Step 4: Simplify right side
   206,925x = 100,111,491,216
5. Step 5: Solve for x
   x = 100,111,491,216/206,925
6. Step 6: Final answer
   x = 483,805.68