Finding the Third Proportional to 120,111 and 261,364

Step by Step Solution

1. Step 1: Write the proportion equation
   120,111 : 261,364 = 261,364 : x
2. Step 2: Convert to fraction form
   120,111/261,364 = 261,364/x
3. Step 3: Cross multiply
   120,111x = 261,364 × 261,364
4. Step 4: Simplify right side
   120,111x = 68,311,140,496
5. Step 5: Solve for x
   x = 68,311,140,496/120,111
6. Step 6: Final answer
   x = 568,733.43