Finding the Third Proportional to 42,182 and 85,576

Step by Step Solution

1. Step 1: Write the proportion equation
   42,182 : 85,576 = 85,576 : x
2. Step 2: Convert to fraction form
   42,182/85,576 = 85,576/x
3. Step 3: Cross multiply
   42,182x = 85,576 × 85,576
4. Step 4: Simplify right side
   42,182x = 7,323,251,776
5. Step 5: Solve for x
   x = 7,323,251,776/42,182
6. Step 6: Final answer
   x = 173,610.82