Finding the Third Proportional to 85,600 and 185,656

Step by Step Solution

1. Step 1: Write the proportion equation
   85,600 : 185,656 = 185,656 : x
2. Step 2: Convert to fraction form
   85,600/185,656 = 185,656/x
3. Step 3: Cross multiply
   85,600x = 185,656 × 185,656
4. Step 4: Simplify right side
   85,600x = 34,468,150,336
5. Step 5: Solve for x
   x = 34,468,150,336/85,600
6. Step 6: Final answer
   x = 402,665.31