Finding the Third Proportional to 65,074 and 142,820

Step by Step Solution

1. Step 1: Write the proportion equation
   65,074 : 142,820 = 142,820 : x
2. Step 2: Convert to fraction form
   65,074/142,820 = 142,820/x
3. Step 3: Cross multiply
   65,074x = 142,820 × 142,820
4. Step 4: Simplify right side
   65,074x = 20,397,552,400
5. Step 5: Solve for x
   x = 20,397,552,400/65,074
6. Step 6: Final answer
   x = 313,451.65