Finding the Third Proportional to 86,094 and 188,802

Step by Step Solution

1. Step 1: Write the proportion equation
   86,094 : 188,802 = 188,802 : x
2. Step 2: Convert to fraction form
   86,094/188,802 = 188,802/x
3. Step 3: Cross multiply
   86,094x = 188,802 × 188,802
4. Step 4: Simplify right side
   86,094x = 35,646,195,204
5. Step 5: Solve for x
   x = 35,646,195,204/86,094
6. Step 6: Final answer
   x = 414,038.09