Finding the Third Proportional to 81,543 and 171,942

Step by Step Solution

1. Step 1: Write the proportion equation
   81,543 : 171,942 = 171,942 : x
2. Step 2: Convert to fraction form
   81,543/171,942 = 171,942/x
3. Step 3: Cross multiply
   81,543x = 171,942 × 171,942
4. Step 4: Simplify right side
   81,543x = 29,564,051,364
5. Step 5: Solve for x
   x = 29,564,051,364/81,543
6. Step 6: Final answer
   x = 362,557.81