Finding the Third Proportional to 171,834 and 262,854

Step by Step Solution

1. Step 1: Write the proportion equation
   171,834 : 262,854 = 262,854 : x
2. Step 2: Convert to fraction form
   171,834/262,854 = 262,854/x
3. Step 3: Cross multiply
   171,834x = 262,854 × 262,854
4. Step 4: Simplify right side
   171,834x = 69,092,225,316
5. Step 5: Solve for x
   x = 69,092,225,316/171,834
6. Step 6: Final answer
   x = 402,087.05