Finding the Third Proportional to 142,869 and 213,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,869 : 213,601.50 = 213,601.50 : x
2. Step 2: Convert to fraction form
   142,869/213,601.50 = 213,601.50/x
3. Step 3: Cross multiply
   142,869x = 213,601.50 × 213,601.50
4. Step 4: Simplify right side
   142,869x = 45,625,600,802.25
5. Step 5: Solve for x
   x = 45,625,600,802.25/142,869
6. Step 6: Final answer
   x = 319,352.70