Finding the Third Proportional to 82,688 and 181,576

Step by Step Solution

1. Step 1: Write the proportion equation
   82,688 : 181,576 = 181,576 : x
2. Step 2: Convert to fraction form
   82,688/181,576 = 181,576/x
3. Step 3: Cross multiply
   82,688x = 181,576 × 181,576
4. Step 4: Simplify right side
   82,688x = 32,969,843,776
5. Step 5: Solve for x
   x = 32,969,843,776/82,688
6. Step 6: Final answer
   x = 398,725.86