Finding the Third Proportional to 171,606 and 262,516

Step by Step Solution

1. Step 1: Write the proportion equation
   171,606 : 262,516 = 262,516 : x
2. Step 2: Convert to fraction form
   171,606/262,516 = 262,516/x
3. Step 3: Cross multiply
   171,606x = 262,516 × 262,516
4. Step 4: Simplify right side
   171,606x = 68,914,650,256
5. Step 5: Solve for x
   x = 68,914,650,256/171,606
6. Step 6: Final answer
   x = 401,586.48