Finding the Third Proportional to 86,256 and 188,603

Step by Step Solution

1. Step 1: Write the proportion equation
   86,256 : 188,603 = 188,603 : x
2. Step 2: Convert to fraction form
   86,256/188,603 = 188,603/x
3. Step 3: Cross multiply
   86,256x = 188,603 × 188,603
4. Step 4: Simplify right side
   86,256x = 35,571,091,609
5. Step 5: Solve for x
   x = 35,571,091,609/86,256
6. Step 6: Final answer
   x = 412,389.77