Finding the Third Proportional to 82,784 and 179,392

Step by Step Solution

1. Step 1: Write the proportion equation
   82,784 : 179,392 = 179,392 : x
2. Step 2: Convert to fraction form
   82,784/179,392 = 179,392/x
3. Step 3: Cross multiply
   82,784x = 179,392 × 179,392
4. Step 4: Simplify right side
   82,784x = 32,181,489,664
5. Step 5: Solve for x
   x = 32,181,489,664/82,784
6. Step 6: Final answer
   x = 388,740.45