Finding the Third Proportional to 81,843 and 171,948

Step by Step Solution

1. Step 1: Write the proportion equation
   81,843 : 171,948 = 171,948 : x
2. Step 2: Convert to fraction form
   81,843/171,948 = 171,948/x
3. Step 3: Cross multiply
   81,843x = 171,948 × 171,948
4. Step 4: Simplify right side
   81,843x = 29,566,114,704
5. Step 5: Solve for x
   x = 29,566,114,704/81,843
6. Step 6: Final answer
   x = 361,254.04