Finding the Third Proportional to 81,522 and 171,892

Step by Step Solution

1. Step 1: Write the proportion equation
   81,522 : 171,892 = 171,892 : x
2. Step 2: Convert to fraction form
   81,522/171,892 = 171,892/x
3. Step 3: Cross multiply
   81,522x = 171,892 × 171,892
4. Step 4: Simplify right side
   81,522x = 29,546,859,664
5. Step 5: Solve for x
   x = 29,546,859,664/81,522
6. Step 6: Final answer
   x = 362,440.32