Finding the Third Proportional to 85,026 and 179,271

Step by Step Solution

1. Step 1: Write the proportion equation
   85,026 : 179,271 = 179,271 : x
2. Step 2: Convert to fraction form
   85,026/179,271 = 179,271/x
3. Step 3: Cross multiply
   85,026x = 179,271 × 179,271
4. Step 4: Simplify right side
   85,026x = 32,138,091,441
5. Step 5: Solve for x
   x = 32,138,091,441/85,026
6. Step 6: Final answer
   x = 377,979.58