Finding the Third Proportional to 83,298 and 181,386

Step by Step Solution

1. Step 1: Write the proportion equation
   83,298 : 181,386 = 181,386 : x
2. Step 2: Convert to fraction form
   83,298/181,386 = 181,386/x
3. Step 3: Cross multiply
   83,298x = 181,386 × 181,386
4. Step 4: Simplify right side
   83,298x = 32,900,880,996
5. Step 5: Solve for x
   x = 32,900,880,996/83,298
6. Step 6: Final answer
   x = 394,978.04