Finding the Third Proportional to 65,206.50 and 142,914

Step by Step Solution

1. Step 1: Write the proportion equation
   65,206.50 : 142,914 = 142,914 : x
2. Step 2: Convert to fraction form
   65,206.50/142,914 = 142,914/x
3. Step 3: Cross multiply
   65,206.50x = 142,914 × 142,914
4. Step 4: Simplify right side
   65,206.50x = 20,424,411,396
5. Step 5: Solve for x
   x = 20,424,411,396/65,206.50
6. Step 6: Final answer
   x = 313,226.62