Finding the Third Proportional to 142,677 and 221,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,677 : 221,227.50 = 221,227.50 : x
2. Step 2: Convert to fraction form
   142,677/221,227.50 = 221,227.50/x
3. Step 3: Cross multiply
   142,677x = 221,227.50 × 221,227.50
4. Step 4: Simplify right side
   142,677x = 48,941,606,756.25
5. Step 5: Solve for x
   x = 48,941,606,756.25/142,677
6. Step 6: Final answer
   x = 343,023.80