Finding the Third Proportional to 142,678 and 221,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,678 : 221,230.50 = 221,230.50 : x
2. Step 2: Convert to fraction form
   142,678/221,230.50 = 221,230.50/x
3. Step 3: Cross multiply
   142,678x = 221,230.50 × 221,230.50
4. Step 4: Simplify right side
   142,678x = 48,942,934,130.25
5. Step 5: Solve for x
   x = 48,942,934,130.25/142,678
6. Step 6: Final answer
   x = 343,030.70