Finding the Third Proportional to 82,634 and 181,084

Step by Step Solution

1. Step 1: Write the proportion equation
   82,634 : 181,084 = 181,084 : x
2. Step 2: Convert to fraction form
   82,634/181,084 = 181,084/x
3. Step 3: Cross multiply
   82,634x = 181,084 × 181,084
4. Step 4: Simplify right side
   82,634x = 32,791,415,056
5. Step 5: Solve for x
   x = 32,791,415,056/82,634
6. Step 6: Final answer
   x = 396,827.15