Finding the Third Proportional to 81,436 and 171,620

Step by Step Solution

1. Step 1: Write the proportion equation
   81,436 : 171,620 = 171,620 : x
2. Step 2: Convert to fraction form
   81,436/171,620 = 171,620/x
3. Step 3: Cross multiply
   81,436x = 171,620 × 171,620
4. Step 4: Simplify right side
   81,436x = 29,453,424,400
5. Step 5: Solve for x
   x = 29,453,424,400/81,436
6. Step 6: Final answer
   x = 361,675.73