Finding the Third Proportional to 146,068 and 231,096

Step by Step Solution

1. Step 1: Write the proportion equation
   146,068 : 231,096 = 231,096 : x
2. Step 2: Convert to fraction form
   146,068/231,096 = 231,096/x
3. Step 3: Cross multiply
   146,068x = 231,096 × 231,096
4. Step 4: Simplify right side
   146,068x = 53,405,361,216
5. Step 5: Solve for x
   x = 53,405,361,216/146,068
6. Step 6: Final answer
   x = 365,619.86