Finding the Third Proportional to 120,824 and 262,410

Step by Step Solution

1. Step 1: Write the proportion equation
   120,824 : 262,410 = 262,410 : x
2. Step 2: Convert to fraction form
   120,824/262,410 = 262,410/x
3. Step 3: Cross multiply
   120,824x = 262,410 × 262,410
4. Step 4: Simplify right side
   120,824x = 68,859,008,100
5. Step 5: Solve for x
   x = 68,859,008,100/120,824
6. Step 6: Final answer
   x = 569,911.67