Finding the Third Proportional to 71,878.50 and 155,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,878.50 : 155,974.50 = 155,974.50 : x
2. Step 2: Convert to fraction form
   71,878.50/155,974.50 = 155,974.50/x
3. Step 3: Cross multiply
   71,878.50x = 155,974.50 × 155,974.50
4. Step 4: Simplify right side
   71,878.50x = 24,328,044,650.25
5. Step 5: Solve for x
   x = 24,328,044,650.25/71,878.50
6. Step 6: Final answer
   x = 338,460.66