Finding the Third Proportional to 85,804 and 186,380

Step by Step Solution

1. Step 1: Write the proportion equation
   85,804 : 186,380 = 186,380 : x
2. Step 2: Convert to fraction form
   85,804/186,380 = 186,380/x
3. Step 3: Cross multiply
   85,804x = 186,380 × 186,380
4. Step 4: Simplify right side
   85,804x = 34,737,504,400
5. Step 5: Solve for x
   x = 34,737,504,400/85,804
6. Step 6: Final answer
   x = 404,847.14