Finding the Third Proportional to 39,856 and 85,436

Step by Step Solution

1. Step 1: Write the proportion equation
   39,856 : 85,436 = 85,436 : x
2. Step 2: Convert to fraction form
   39,856/85,436 = 85,436/x
3. Step 3: Cross multiply
   39,856x = 85,436 × 85,436
4. Step 4: Simplify right side
   39,856x = 7,299,310,096
5. Step 5: Solve for x
   x = 7,299,310,096/39,856
6. Step 6: Final answer
   x = 183,142.06