Finding the Third Proportional to 120,915 and 263,238

Step by Step Solution

1. Step 1: Write the proportion equation
   120,915 : 263,238 = 263,238 : x
2. Step 2: Convert to fraction form
   120,915/263,238 = 263,238/x
3. Step 3: Cross multiply
   120,915x = 263,238 × 263,238
4. Step 4: Simplify right side
   120,915x = 69,294,244,644
5. Step 5: Solve for x
   x = 69,294,244,644/120,915
6. Step 6: Final answer
   x = 573,082.29