Finding the Third Proportional to 120,312 and 262,008

Step by Step Solution

1. Step 1: Write the proportion equation
   120,312 : 262,008 = 262,008 : x
2. Step 2: Convert to fraction form
   120,312/262,008 = 262,008/x
3. Step 3: Cross multiply
   120,312x = 262,008 × 262,008
4. Step 4: Simplify right side
   120,312x = 68,648,192,064
5. Step 5: Solve for x
   x = 68,648,192,064/120,312
6. Step 6: Final answer
   x = 570,584.75