Finding the Third Proportional to 65,485 and 142,965

Step by Step Solution

1. Step 1: Write the proportion equation
   65,485 : 142,965 = 142,965 : x
2. Step 2: Convert to fraction form
   65,485/142,965 = 142,965/x
3. Step 3: Cross multiply
   65,485x = 142,965 × 142,965
4. Step 4: Simplify right side
   65,485x = 20,438,991,225
5. Step 5: Solve for x
   x = 20,438,991,225/65,485
6. Step 6: Final answer
   x = 312,117.14