Finding the Third Proportional to 158,624 and 231,968

Step by Step Solution

1. Step 1: Write the proportion equation
   158,624 : 231,968 = 231,968 : x
2. Step 2: Convert to fraction form
   158,624/231,968 = 231,968/x
3. Step 3: Cross multiply
   158,624x = 231,968 × 231,968
4. Step 4: Simplify right side
   158,624x = 53,809,153,024
5. Step 5: Solve for x
   x = 53,809,153,024/158,624
6. Step 6: Final answer
   x = 339,224.54