Finding the Third Proportional to 86,656.50 and 186,204

Step by Step Solution

1. Step 1: Write the proportion equation
   86,656.50 : 186,204 = 186,204 : x
2. Step 2: Convert to fraction form
   86,656.50/186,204 = 186,204/x
3. Step 3: Cross multiply
   86,656.50x = 186,204 × 186,204
4. Step 4: Simplify right side
   86,656.50x = 34,671,929,616
5. Step 5: Solve for x
   x = 34,671,929,616/86,656.50
6. Step 6: Final answer
   x = 400,107.66