Finding the Third Proportional to 85,538 and 176,530

Step by Step Solution

1. Step 1: Write the proportion equation
   85,538 : 176,530 = 176,530 : x
2. Step 2: Convert to fraction form
   85,538/176,530 = 176,530/x
3. Step 3: Cross multiply
   85,538x = 176,530 × 176,530
4. Step 4: Simplify right side
   85,538x = 31,162,840,900
5. Step 5: Solve for x
   x = 31,162,840,900/85,538
6. Step 6: Final answer
   x = 364,315.75