Finding the Third Proportional to 65,477 and 142,949

Step by Step Solution

1. Step 1: Write the proportion equation
   65,477 : 142,949 = 142,949 : x
2. Step 2: Convert to fraction form
   65,477/142,949 = 142,949/x
3. Step 3: Cross multiply
   65,477x = 142,949 × 142,949
4. Step 4: Simplify right side
   65,477x = 20,434,416,601
5. Step 5: Solve for x
   x = 20,434,416,601/65,477
6. Step 6: Final answer
   x = 312,085.41