Finding the Third Proportional to 65,198 and 142,076

Step by Step Solution

1. Step 1: Write the proportion equation
   65,198 : 142,076 = 142,076 : x
2. Step 2: Convert to fraction form
   65,198/142,076 = 142,076/x
3. Step 3: Cross multiply
   65,198x = 142,076 × 142,076
4. Step 4: Simplify right side
   65,198x = 20,185,589,776
5. Step 5: Solve for x
   x = 20,185,589,776/65,198
6. Step 6: Final answer
   x = 309,604.43