Finding the Third Proportional to 50,256 and 85,590

Step by Step Solution

1. Step 1: Write the proportion equation
   50,256 : 85,590 = 85,590 : x
2. Step 2: Convert to fraction form
   50,256/85,590 = 85,590/x
3. Step 3: Cross multiply
   50,256x = 85,590 × 85,590
4. Step 4: Simplify right side
   50,256x = 7,325,648,100
5. Step 5: Solve for x
   x = 7,325,648,100/50,256
6. Step 6: Final answer
   x = 145,766.64