Finding the Third Proportional to 120,738 and 262,253

Step by Step Solution

1. Step 1: Write the proportion equation
   120,738 : 262,253 = 262,253 : x
2. Step 2: Convert to fraction form
   120,738/262,253 = 262,253/x
3. Step 3: Cross multiply
   120,738x = 262,253 × 262,253
4. Step 4: Simplify right side
   120,738x = 68,776,636,009
5. Step 5: Solve for x
   x = 68,776,636,009/120,738
6. Step 6: Final answer
   x = 569,635.38