Finding the Third Proportional to 85,866 and 186,510

Step by Step Solution

1. Step 1: Write the proportion equation
   85,866 : 186,510 = 186,510 : x
2. Step 2: Convert to fraction form
   85,866/186,510 = 186,510/x
3. Step 3: Cross multiply
   85,866x = 186,510 × 186,510
4. Step 4: Simplify right side
   85,866x = 34,785,980,100
5. Step 5: Solve for x
   x = 34,785,980,100/85,866
6. Step 6: Final answer
   x = 405,119.37