Finding the Third Proportional to 85,584 and 188,661

Step by Step Solution

1. Step 1: Write the proportion equation
   85,584 : 188,661 = 188,661 : x
2. Step 2: Convert to fraction form
   85,584/188,661 = 188,661/x
3. Step 3: Cross multiply
   85,584x = 188,661 × 188,661
4. Step 4: Simplify right side
   85,584x = 35,592,972,921
5. Step 5: Solve for x
   x = 35,592,972,921/85,584
6. Step 6: Final answer
   x = 415,883.49