Finding the Third Proportional to 200,506.50 and 282,109

Step by Step Solution

1. Step 1: Write the proportion equation
   200,506.50 : 282,109 = 282,109 : x
2. Step 2: Convert to fraction form
   200,506.50/282,109 = 282,109/x
3. Step 3: Cross multiply
   200,506.50x = 282,109 × 282,109
4. Step 4: Simplify right side
   200,506.50x = 79,585,487,881
5. Step 5: Solve for x
   x = 79,585,487,881/200,506.50
6. Step 6: Final answer
   x = 396,922.23