Finding the Third Proportional to 142,420.50 and 221,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,420.50 : 221,407.50 = 221,407.50 : x
2. Step 2: Convert to fraction form
   142,420.50/221,407.50 = 221,407.50/x
3. Step 3: Cross multiply
   142,420.50x = 221,407.50 × 221,407.50
4. Step 4: Simplify right side
   142,420.50x = 49,021,281,056.25
5. Step 5: Solve for x
   x = 49,021,281,056.25/142,420.50
6. Step 6: Final answer
   x = 344,201.02