Finding the Third Proportional to 85,007 and 185,566

Step by Step Solution

1. Step 1: Write the proportion equation
   85,007 : 185,566 = 185,566 : x
2. Step 2: Convert to fraction form
   85,007/185,566 = 185,566/x
3. Step 3: Cross multiply
   85,007x = 185,566 × 185,566
4. Step 4: Simplify right side
   85,007x = 34,434,740,356
5. Step 5: Solve for x
   x = 34,434,740,356/85,007
6. Step 6: Final answer
   x = 405,081.23