Finding the Third Proportional to 85,222 and 185,826

Step by Step Solution

1. Step 1: Write the proportion equation
   85,222 : 185,826 = 185,826 : x
2. Step 2: Convert to fraction form
   85,222/185,826 = 185,826/x
3. Step 3: Cross multiply
   85,222x = 185,826 × 185,826
4. Step 4: Simplify right side
   85,222x = 34,531,302,276
5. Step 5: Solve for x
   x = 34,531,302,276/85,222
6. Step 6: Final answer
   x = 405,192.35