Finding the Third Proportional to 65,844 and 143,784

Step by Step Solution

1. Step 1: Write the proportion equation
   65,844 : 143,784 = 143,784 : x
2. Step 2: Convert to fraction form
   65,844/143,784 = 143,784/x
3. Step 3: Cross multiply
   65,844x = 143,784 × 143,784
4. Step 4: Simplify right side
   65,844x = 20,673,838,656
5. Step 5: Solve for x
   x = 20,673,838,656/65,844
6. Step 6: Final answer
   x = 313,982.12