Finding the Third Proportional to 86,510 and 186,520

Step by Step Solution

1. Step 1: Write the proportion equation
   86,510 : 186,520 = 186,520 : x
2. Step 2: Convert to fraction form
   86,510/186,520 = 186,520/x
3. Step 3: Cross multiply
   86,510x = 186,520 × 186,520
4. Step 4: Simplify right side
   86,510x = 34,789,710,400
5. Step 5: Solve for x
   x = 34,789,710,400/86,510
6. Step 6: Final answer
   x = 402,146.69