Finding the Third Proportional to 65,209.50 and 142,920

Step by Step Solution

1. Step 1: Write the proportion equation
   65,209.50 : 142,920 = 142,920 : x
2. Step 2: Convert to fraction form
   65,209.50/142,920 = 142,920/x
3. Step 3: Cross multiply
   65,209.50x = 142,920 × 142,920
4. Step 4: Simplify right side
   65,209.50x = 20,426,126,400
5. Step 5: Solve for x
   x = 20,426,126,400/65,209.50
6. Step 6: Final answer
   x = 313,238.51