Finding the Third Proportional to 206,874 and 316,327.78

Step by Step Solution

1. Step 1: Write the proportion equation
   206,874 : 316,327.78 = 316,327.78 : x
2. Step 2: Convert to fraction form
   206,874/316,327.78 = 316,327.78/x
3. Step 3: Cross multiply
   206,874x = 316,327.78 × 316,327.78
4. Step 4: Simplify right side
   206,874x = 100,063,265,190.55
5. Step 5: Solve for x
   x = 100,063,265,190.55/206,874
6. Step 6: Final answer
   x = 483,691.84