Finding the Third Proportional to 85,032 and 179,784

Step by Step Solution

1. Step 1: Write the proportion equation
   85,032 : 179,784 = 179,784 : x
2. Step 2: Convert to fraction form
   85,032/179,784 = 179,784/x
3. Step 3: Cross multiply
   85,032x = 179,784 × 179,784
4. Step 4: Simplify right side
   85,032x = 32,322,286,656
5. Step 5: Solve for x
   x = 32,322,286,656/85,032
6. Step 6: Final answer
   x = 380,119.09