Finding the Third Proportional to 86,166 and 188,370

Step by Step Solution

1. Step 1: Write the proportion equation
   86,166 : 188,370 = 188,370 : x
2. Step 2: Convert to fraction form
   86,166/188,370 = 188,370/x
3. Step 3: Cross multiply
   86,166x = 188,370 × 188,370
4. Step 4: Simplify right side
   86,166x = 35,483,256,900
5. Step 5: Solve for x
   x = 35,483,256,900/86,166
6. Step 6: Final answer
   x = 411,801.14