Finding the Third Proportional to 65,851 and 142,233

Step by Step Solution

1. Step 1: Write the proportion equation
   65,851 : 142,233 = 142,233 : x
2. Step 2: Convert to fraction form
   65,851/142,233 = 142,233/x
3. Step 3: Cross multiply
   65,851x = 142,233 × 142,233
4. Step 4: Simplify right side
   65,851x = 20,230,226,289
5. Step 5: Solve for x
   x = 20,230,226,289/65,851
6. Step 6: Final answer
   x = 307,212.13