Finding the Third Proportional to 82,080 and 179,784

Step by Step Solution

1. Step 1: Write the proportion equation
   82,080 : 179,784 = 179,784 : x
2. Step 2: Convert to fraction form
   82,080/179,784 = 179,784/x
3. Step 3: Cross multiply
   82,080x = 179,784 × 179,784
4. Step 4: Simplify right side
   82,080x = 32,322,286,656
5. Step 5: Solve for x
   x = 32,322,286,656/82,080
6. Step 6: Final answer
   x = 393,790.04