Finding the Third Proportional to 86,256 and 186,120

Step by Step Solution

1. Step 1: Write the proportion equation
   86,256 : 186,120 = 186,120 : x
2. Step 2: Convert to fraction form
   86,256/186,120 = 186,120/x
3. Step 3: Cross multiply
   86,256x = 186,120 × 186,120
4. Step 4: Simplify right side
   86,256x = 34,640,654,400
5. Step 5: Solve for x
   x = 34,640,654,400/86,256
6. Step 6: Final answer
   x = 401,602.84