Finding the Third Proportional to 65,164 and 141,992

Step by Step Solution

1. Step 1: Write the proportion equation
   65,164 : 141,992 = 141,992 : x
2. Step 2: Convert to fraction form
   65,164/141,992 = 141,992/x
3. Step 3: Cross multiply
   65,164x = 141,992 × 141,992
4. Step 4: Simplify right side
   65,164x = 20,161,728,064
5. Step 5: Solve for x
   x = 20,161,728,064/65,164
6. Step 6: Final answer
   x = 309,399.79