Finding the Third Proportional to 65,688.50 and 144,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,688.50 : 144,498.50 = 144,498.50 : x
2. Step 2: Convert to fraction form
   65,688.50/144,498.50 = 144,498.50/x
3. Step 3: Cross multiply
   65,688.50x = 144,498.50 × 144,498.50
4. Step 4: Simplify right side
   65,688.50x = 20,879,816,502.25
5. Step 5: Solve for x
   x = 20,879,816,502.25/65,688.50
6. Step 6: Final answer
   x = 317,861.06