Finding the Third Proportional to 85,859 and 188,120

Step by Step Solution

1. Step 1: Write the proportion equation
   85,859 : 188,120 = 188,120 : x
2. Step 2: Convert to fraction form
   85,859/188,120 = 188,120/x
3. Step 3: Cross multiply
   85,859x = 188,120 × 188,120
4. Step 4: Simplify right side
   85,859x = 35,389,134,400
5. Step 5: Solve for x
   x = 35,389,134,400/85,859
6. Step 6: Final answer
   x = 412,177.34