Finding the Third Proportional to 65,462 and 141,366

Step by Step Solution

1. Step 1: Write the proportion equation
   65,462 : 141,366 = 141,366 : x
2. Step 2: Convert to fraction form
   65,462/141,366 = 141,366/x
3. Step 3: Cross multiply
   65,462x = 141,366 × 141,366
4. Step 4: Simplify right side
   65,462x = 19,984,345,956
5. Step 5: Solve for x
   x = 19,984,345,956/65,462
6. Step 6: Final answer
   x = 305,281.63