Finding the Third Proportional to 171,824 and 262,864

Step by Step Solution

1. Step 1: Write the proportion equation
   171,824 : 262,864 = 262,864 : x
2. Step 2: Convert to fraction form
   171,824/262,864 = 262,864/x
3. Step 3: Cross multiply
   171,824x = 262,864 × 262,864
4. Step 4: Simplify right side
   171,824x = 69,097,482,496
5. Step 5: Solve for x
   x = 69,097,482,496/171,824
6. Step 6: Final answer
   x = 402,141.04