Finding the Third Proportional to 86,504 and 185,942

Step by Step Solution

1. Step 1: Write the proportion equation
   86,504 : 185,942 = 185,942 : x
2. Step 2: Convert to fraction form
   86,504/185,942 = 185,942/x
3. Step 3: Cross multiply
   86,504x = 185,942 × 185,942
4. Step 4: Simplify right side
   86,504x = 34,574,427,364
5. Step 5: Solve for x
   x = 34,574,427,364/86,504
6. Step 6: Final answer
   x = 399,685.88