Finding the Third Proportional to 142,904.25 and 221,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,904.25 : 221,494.50 = 221,494.50 : x
2. Step 2: Convert to fraction form
   142,904.25/221,494.50 = 221,494.50/x
3. Step 3: Cross multiply
   142,904.25x = 221,494.50 × 221,494.50
4. Step 4: Simplify right side
   142,904.25x = 49,059,813,530.25
5. Step 5: Solve for x
   x = 49,059,813,530.25/142,904.25
6. Step 6: Final answer
   x = 343,305.49