Finding the Third Proportional to 63,684 and 133,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,684 : 133,564.50 = 133,564.50 : x
2. Step 2: Convert to fraction form
   63,684/133,564.50 = 133,564.50/x
3. Step 3: Cross multiply
   63,684x = 133,564.50 × 133,564.50
4. Step 4: Simplify right side
   63,684x = 17,839,475,660.25
5. Step 5: Solve for x
   x = 17,839,475,660.25/63,684
6. Step 6: Final answer
   x = 280,124.92