Finding the Third Proportional to 65,259 and 142,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,259 : 142,501.50 = 142,501.50 : x
2. Step 2: Convert to fraction form
   65,259/142,501.50 = 142,501.50/x
3. Step 3: Cross multiply
   65,259x = 142,501.50 × 142,501.50
4. Step 4: Simplify right side
   65,259x = 20,306,677,502.25
5. Step 5: Solve for x
   x = 20,306,677,502.25/65,259
6. Step 6: Final answer
   x = 311,170.53