Finding the Third Proportional to 86,096 and 185,784

Step by Step Solution

1. Step 1: Write the proportion equation
   86,096 : 185,784 = 185,784 : x
2. Step 2: Convert to fraction form
   86,096/185,784 = 185,784/x
3. Step 3: Cross multiply
   86,096x = 185,784 × 185,784
4. Step 4: Simplify right side
   86,096x = 34,515,694,656
5. Step 5: Solve for x
   x = 34,515,694,656/86,096
6. Step 6: Final answer
   x = 400,897.77