Finding the Third Proportional to 143,200 and 282,784

Step by Step Solution

1. Step 1: Write the proportion equation
   143,200 : 282,784 = 282,784 : x
2. Step 2: Convert to fraction form
   143,200/282,784 = 282,784/x
3. Step 3: Cross multiply
   143,200x = 282,784 × 282,784
4. Step 4: Simplify right side
   143,200x = 79,966,790,656
5. Step 5: Solve for x
   x = 79,966,790,656/143,200
6. Step 6: Final answer
   x = 558,427.31