Finding the Third Proportional to 146,067 and 231,093

Step by Step Solution

1. Step 1: Write the proportion equation
   146,067 : 231,093 = 231,093 : x
2. Step 2: Convert to fraction form
   146,067/231,093 = 231,093/x
3. Step 3: Cross multiply
   146,067x = 231,093 × 231,093
4. Step 4: Simplify right side
   146,067x = 53,403,974,649
5. Step 5: Solve for x
   x = 53,403,974,649/146,067
6. Step 6: Final answer
   x = 365,612.87