Finding the Third Proportional to 86,890 and 188,726

Step by Step Solution

1. Step 1: Write the proportion equation
   86,890 : 188,726 = 188,726 : x
2. Step 2: Convert to fraction form
   86,890/188,726 = 188,726/x
3. Step 3: Cross multiply
   86,890x = 188,726 × 188,726
4. Step 4: Simplify right side
   86,890x = 35,617,503,076
5. Step 5: Solve for x
   x = 35,617,503,076/86,890
6. Step 6: Final answer
   x = 409,914.87