Finding the Third Proportional to 143,875.50 and 213,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   143,875.50 : 213,022.50 = 213,022.50 : x
2. Step 2: Convert to fraction form
   143,875.50/213,022.50 = 213,022.50/x
3. Step 3: Cross multiply
   143,875.50x = 213,022.50 × 213,022.50
4. Step 4: Simplify right side
   143,875.50x = 45,378,585,506.25
5. Step 5: Solve for x
   x = 45,378,585,506.25/143,875.50
6. Step 6: Final answer
   x = 315,401.76