Finding the Third Proportional to 171,836 and 262,882

Step by Step Solution

1. Step 1: Write the proportion equation
   171,836 : 262,882 = 262,882 : x
2. Step 2: Convert to fraction form
   171,836/262,882 = 262,882/x
3. Step 3: Cross multiply
   171,836x = 262,882 × 262,882
4. Step 4: Simplify right side
   171,836x = 69,106,945,924
5. Step 5: Solve for x
   x = 69,106,945,924/171,836
6. Step 6: Final answer
   x = 402,168.03