Finding the Third Proportional to 120,757.50 and 262,278

Step by Step Solution

1. Step 1: Write the proportion equation
   120,757.50 : 262,278 = 262,278 : x
2. Step 2: Convert to fraction form
   120,757.50/262,278 = 262,278/x
3. Step 3: Cross multiply
   120,757.50x = 262,278 × 262,278
4. Step 4: Simplify right side
   120,757.50x = 68,789,749,284
5. Step 5: Solve for x
   x = 68,789,749,284/120,757.50
6. Step 6: Final answer
   x = 569,651.98