Finding the Third Proportional to 41,970 and 85,878

Step by Step Solution

1. Step 1: Write the proportion equation
   41,970 : 85,878 = 85,878 : x
2. Step 2: Convert to fraction form
   41,970/85,878 = 85,878/x
3. Step 3: Cross multiply
   41,970x = 85,878 × 85,878
4. Step 4: Simplify right side
   41,970x = 7,375,030,884
5. Step 5: Solve for x
   x = 7,375,030,884/41,970
6. Step 6: Final answer
   x = 175,721.49