Finding the Third Proportional to 83,784 and 182,310

Step by Step Solution

1. Step 1: Write the proportion equation
   83,784 : 182,310 = 182,310 : x
2. Step 2: Convert to fraction form
   83,784/182,310 = 182,310/x
3. Step 3: Cross multiply
   83,784x = 182,310 × 182,310
4. Step 4: Simplify right side
   83,784x = 33,236,936,100
5. Step 5: Solve for x
   x = 33,236,936,100/83,784
6. Step 6: Final answer
   x = 396,697.89