Finding the Third Proportional to 65,469 and 142,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,469 : 142,603.50 = 142,603.50 : x
2. Step 2: Convert to fraction form
   65,469/142,603.50 = 142,603.50/x
3. Step 3: Cross multiply
   65,469x = 142,603.50 × 142,603.50
4. Step 4: Simplify right side
   65,469x = 20,335,758,212.25
5. Step 5: Solve for x
   x = 20,335,758,212.25/65,469
6. Step 6: Final answer
   x = 310,616.60