Finding the Third Proportional to 200,542.50 and 435,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   200,542.50 : 435,665.25 = 435,665.25 : x
2. Step 2: Convert to fraction form
   200,542.50/435,665.25 = 435,665.25/x
3. Step 3: Cross multiply
   200,542.50x = 435,665.25 × 435,665.25
4. Step 4: Simplify right side
   200,542.50x = 189,804,210,057.56
5. Step 5: Solve for x
   x = 189,804,210,057.56/200,542.50
6. Step 6: Final answer
   x = 946,453.79