Finding the Third Proportional to 69,729 and 143,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,729 : 143,584.50 = 143,584.50 : x
2. Step 2: Convert to fraction form
   69,729/143,584.50 = 143,584.50/x
3. Step 3: Cross multiply
   69,729x = 143,584.50 × 143,584.50
4. Step 4: Simplify right side
   69,729x = 20,616,508,640.25
5. Step 5: Solve for x
   x = 20,616,508,640.25/69,729
6. Step 6: Final answer
   x = 295,666.20