Finding the Third Proportional to 120,766 and 265,434

Step by Step Solution

1. Step 1: Write the proportion equation
   120,766 : 265,434 = 265,434 : x
2. Step 2: Convert to fraction form
   120,766/265,434 = 265,434/x
3. Step 3: Cross multiply
   120,766x = 265,434 × 265,434
4. Step 4: Simplify right side
   120,766x = 70,455,208,356
5. Step 5: Solve for x
   x = 70,455,208,356/120,766
6. Step 6: Final answer
   x = 583,402.68