Finding the Third Proportional to 86,510 and 186,350

Step by Step Solution

1. Step 1: Write the proportion equation
   86,510 : 186,350 = 186,350 : x
2. Step 2: Convert to fraction form
   86,510/186,350 = 186,350/x
3. Step 3: Cross multiply
   86,510x = 186,350 × 186,350
4. Step 4: Simplify right side
   86,510x = 34,726,322,500
5. Step 5: Solve for x
   x = 34,726,322,500/86,510
6. Step 6: Final answer
   x = 401,413.97