Finding the Third Proportional to 120,834 and 262,428

Step by Step Solution

1. Step 1: Write the proportion equation
   120,834 : 262,428 = 262,428 : x
2. Step 2: Convert to fraction form
   120,834/262,428 = 262,428/x
3. Step 3: Cross multiply
   120,834x = 262,428 × 262,428
4. Step 4: Simplify right side
   120,834x = 68,868,455,184
5. Step 5: Solve for x
   x = 68,868,455,184/120,834
6. Step 6: Final answer
   x = 569,942.69