Finding the Third Proportional to 86,072 and 185,740

Step by Step Solution

1. Step 1: Write the proportion equation
   86,072 : 185,740 = 185,740 : x
2. Step 2: Convert to fraction form
   86,072/185,740 = 185,740/x
3. Step 3: Cross multiply
   86,072x = 185,740 × 185,740
4. Step 4: Simplify right side
   86,072x = 34,499,347,600
5. Step 5: Solve for x
   x = 34,499,347,600/86,072
6. Step 6: Final answer
   x = 400,819.63