Finding the Third Proportional to 171,844 and 262,902

Step by Step Solution

1. Step 1: Write the proportion equation
   171,844 : 262,902 = 262,902 : x
2. Step 2: Convert to fraction form
   171,844/262,902 = 262,902/x
3. Step 3: Cross multiply
   171,844x = 262,902 × 262,902
4. Step 4: Simplify right side
   171,844x = 69,117,461,604
5. Step 5: Solve for x
   x = 69,117,461,604/171,844
6. Step 6: Final answer
   x = 402,210.50