Finding the Third Proportional to 85,736 and 188,073

Step by Step Solution

1. Step 1: Write the proportion equation
   85,736 : 188,073 = 188,073 : x
2. Step 2: Convert to fraction form
   85,736/188,073 = 188,073/x
3. Step 3: Cross multiply
   85,736x = 188,073 × 188,073
4. Step 4: Simplify right side
   85,736x = 35,371,453,329
5. Step 5: Solve for x
   x = 35,371,453,329/85,736
6. Step 6: Final answer
   x = 412,562.44