Finding the Third Proportional to 201,667.50 and 282,635.25

Step by Step Solution

1. Step 1: Write the proportion equation
   201,667.50 : 282,635.25 = 282,635.25 : x
2. Step 2: Convert to fraction form
   201,667.50/282,635.25 = 282,635.25/x
3. Step 3: Cross multiply
   201,667.50x = 282,635.25 × 282,635.25
4. Step 4: Simplify right side
   201,667.50x = 79,882,684,542.56
5. Step 5: Solve for x
   x = 79,882,684,542.56/201,667.50
6. Step 6: Final answer
   x = 396,110.85