Finding the Third Proportional to 65,464 and 140,948

Step by Step Solution

1. Step 1: Write the proportion equation
   65,464 : 140,948 = 140,948 : x
2. Step 2: Convert to fraction form
   65,464/140,948 = 140,948/x
3. Step 3: Cross multiply
   65,464x = 140,948 × 140,948
4. Step 4: Simplify right side
   65,464x = 19,866,338,704
5. Step 5: Solve for x
   x = 19,866,338,704/65,464
6. Step 6: Final answer
   x = 303,469.67