Finding the Third Proportional to 86,528 and 185,996

Step by Step Solution

1. Step 1: Write the proportion equation
   86,528 : 185,996 = 185,996 : x
2. Step 2: Convert to fraction form
   86,528/185,996 = 185,996/x
3. Step 3: Cross multiply
   86,528x = 185,996 × 185,996
4. Step 4: Simplify right side
   86,528x = 34,594,512,016
5. Step 5: Solve for x
   x = 34,594,512,016/86,528
6. Step 6: Final answer
   x = 399,807.14