Finding the Third Proportional to 86,074 and 188,738

Step by Step Solution

1. Step 1: Write the proportion equation
   86,074 : 188,738 = 188,738 : x
2. Step 2: Convert to fraction form
   86,074/188,738 = 188,738/x
3. Step 3: Cross multiply
   86,074x = 188,738 × 188,738
4. Step 4: Simplify right side
   86,074x = 35,622,032,644
5. Step 5: Solve for x
   x = 35,622,032,644/86,074
6. Step 6: Final answer
   x = 413,853.58