Finding the Third Proportional to 85,853.25 and 188,109

Step by Step Solution

1. Step 1: Write the proportion equation
   85,853.25 : 188,109 = 188,109 : x
2. Step 2: Convert to fraction form
   85,853.25/188,109 = 188,109/x
3. Step 3: Cross multiply
   85,853.25x = 188,109 × 188,109
4. Step 4: Simplify right side
   85,853.25x = 35,384,995,881
5. Step 5: Solve for x
   x = 35,384,995,881/85,853.25
6. Step 6: Final answer
   x = 412,156.74