Finding the Third Proportional to 206,848 and 331,870

Step by Step Solution

1. Step 1: Write the proportion equation
   206,848 : 331,870 = 331,870 : x
2. Step 2: Convert to fraction form
   206,848/331,870 = 331,870/x
3. Step 3: Cross multiply
   206,848x = 331,870 × 331,870
4. Step 4: Simplify right side
   206,848x = 110,137,696,900
5. Step 5: Solve for x
   x = 110,137,696,900/206,848
6. Step 6: Final answer
   x = 532,457.15