Finding the Third Proportional to 65,782 and 142,074

Step by Step Solution

1. Step 1: Write the proportion equation
   65,782 : 142,074 = 142,074 : x
2. Step 2: Convert to fraction form
   65,782/142,074 = 142,074/x
3. Step 3: Cross multiply
   65,782x = 142,074 × 142,074
4. Step 4: Simplify right side
   65,782x = 20,185,021,476
5. Step 5: Solve for x
   x = 20,185,021,476/65,782
6. Step 6: Final answer
   x = 306,847.18