Finding the Third Proportional to 86,510 and 185,954

Step by Step Solution

1. Step 1: Write the proportion equation
   86,510 : 185,954 = 185,954 : x
2. Step 2: Convert to fraction form
   86,510/185,954 = 185,954/x
3. Step 3: Cross multiply
   86,510x = 185,954 × 185,954
4. Step 4: Simplify right side
   86,510x = 34,578,890,116
5. Step 5: Solve for x
   x = 34,578,890,116/86,510
6. Step 6: Final answer
   x = 399,709.75