Finding the Third Proportional to 85,256 and 185,500

Step by Step Solution

1. Step 1: Write the proportion equation
   85,256 : 185,500 = 185,500 : x
2. Step 2: Convert to fraction form
   85,256/185,500 = 185,500/x
3. Step 3: Cross multiply
   85,256x = 185,500 × 185,500
4. Step 4: Simplify right side
   85,256x = 34,410,250,000
5. Step 5: Solve for x
   x = 34,410,250,000/85,256
6. Step 6: Final answer
   x = 403,610.89