Finding the Third Proportional to 171,822 and 262,836

Step by Step Solution

1. Step 1: Write the proportion equation
   171,822 : 262,836 = 262,836 : x
2. Step 2: Convert to fraction form
   171,822/262,836 = 262,836/x
3. Step 3: Cross multiply
   171,822x = 262,836 × 262,836
4. Step 4: Simplify right side
   171,822x = 69,082,762,896
5. Step 5: Solve for x
   x = 69,082,762,896/171,822
6. Step 6: Final answer
   x = 402,060.06