Finding the Third Proportional to 171,806 and 262,152

Step by Step Solution

1. Step 1: Write the proportion equation
   171,806 : 262,152 = 262,152 : x
2. Step 2: Convert to fraction form
   171,806/262,152 = 262,152/x
3. Step 3: Cross multiply
   171,806x = 262,152 × 262,152
4. Step 4: Simplify right side
   171,806x = 68,723,671,104
5. Step 5: Solve for x
   x = 68,723,671,104/171,806
6. Step 6: Final answer
   x = 400,007.40