Finding the Third Proportional to 104,992 and 233,096

Step by Step Solution

1. Step 1: Write the proportion equation
   104,992 : 233,096 = 233,096 : x
2. Step 2: Convert to fraction form
   104,992/233,096 = 233,096/x
3. Step 3: Cross multiply
   104,992x = 233,096 × 233,096
4. Step 4: Simplify right side
   104,992x = 54,333,745,216
5. Step 5: Solve for x
   x = 54,333,745,216/104,992
6. Step 6: Final answer
   x = 517,503.67