Finding the Third Proportional to 82,611 and 181,053

Step by Step Solution

1. Step 1: Write the proportion equation
   82,611 : 181,053 = 181,053 : x
2. Step 2: Convert to fraction form
   82,611/181,053 = 181,053/x
3. Step 3: Cross multiply
   82,611x = 181,053 × 181,053
4. Step 4: Simplify right side
   82,611x = 32,780,188,809
5. Step 5: Solve for x
   x = 32,780,188,809/82,611
6. Step 6: Final answer
   x = 396,801.74