Finding the Third Proportional to 86,091 and 188,796

Step by Step Solution

1. Step 1: Write the proportion equation
   86,091 : 188,796 = 188,796 : x
2. Step 2: Convert to fraction form
   86,091/188,796 = 188,796/x
3. Step 3: Cross multiply
   86,091x = 188,796 × 188,796
4. Step 4: Simplify right side
   86,091x = 35,643,929,616
5. Step 5: Solve for x
   x = 35,643,929,616/86,091
6. Step 6: Final answer
   x = 414,026.20