Finding the Third Proportional to 65,175 and 142,808

Step by Step Solution

1. Step 1: Write the proportion equation
   65,175 : 142,808 = 142,808 : x
2. Step 2: Convert to fraction form
   65,175/142,808 = 142,808/x
3. Step 3: Cross multiply
   65,175x = 142,808 × 142,808
4. Step 4: Simplify right side
   65,175x = 20,394,124,864
5. Step 5: Solve for x
   x = 20,394,124,864/65,175
6. Step 6: Final answer
   x = 312,913.31