Finding the Third Proportional to 65,056 and 142,784

Step by Step Solution

1. Step 1: Write the proportion equation
   65,056 : 142,784 = 142,784 : x
2. Step 2: Convert to fraction form
   65,056/142,784 = 142,784/x
3. Step 3: Cross multiply
   65,056x = 142,784 × 142,784
4. Step 4: Simplify right side
   65,056x = 20,387,270,656
5. Step 5: Solve for x
   x = 20,387,270,656/65,056
6. Step 6: Final answer
   x = 313,380.33