Finding the Third Proportional to 82,692 and 181,584

Step by Step Solution

1. Step 1: Write the proportion equation
   82,692 : 181,584 = 181,584 : x
2. Step 2: Convert to fraction form
   82,692/181,584 = 181,584/x
3. Step 3: Cross multiply
   82,692x = 181,584 × 181,584
4. Step 4: Simplify right side
   82,692x = 32,972,749,056
5. Step 5: Solve for x
   x = 32,972,749,056/82,692
6. Step 6: Final answer
   x = 398,741.70