Finding the Third Proportional to 158,311.50 and 333,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   158,311.50 : 333,022.50 = 333,022.50 : x
2. Step 2: Convert to fraction form
   158,311.50/333,022.50 = 333,022.50/x
3. Step 3: Cross multiply
   158,311.50x = 333,022.50 × 333,022.50
4. Step 4: Simplify right side
   158,311.50x = 110,903,985,506.25
5. Step 5: Solve for x
   x = 110,903,985,506.25/158,311.50
6. Step 6: Final answer
   x = 700,542.83