Finding the Third Proportional to 210,834 and 335,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,834 : 335,020.50 = 335,020.50 : x
2. Step 2: Convert to fraction form
   210,834/335,020.50 = 335,020.50/x
3. Step 3: Cross multiply
   210,834x = 335,020.50 × 335,020.50
4. Step 4: Simplify right side
   210,834x = 112,238,735,420.25
5. Step 5: Solve for x
   x = 112,238,735,420.25/210,834
6. Step 6: Final answer
   x = 532,355.96