Finding the Third Proportional to 120,538.50 and 259,215

Step by Step Solution

1. Step 1: Write the proportion equation
   120,538.50 : 259,215 = 259,215 : x
2. Step 2: Convert to fraction form
   120,538.50/259,215 = 259,215/x
3. Step 3: Cross multiply
   120,538.50x = 259,215 × 259,215
4. Step 4: Simplify right side
   120,538.50x = 67,192,416,225
5. Step 5: Solve for x
   x = 67,192,416,225/120,538.50
6. Step 6: Final answer
   x = 557,435.31