Finding the Third Proportional to 82,602 and 181,035

Step by Step Solution

1. Step 1: Write the proportion equation
   82,602 : 181,035 = 181,035 : x
2. Step 2: Convert to fraction form
   82,602/181,035 = 181,035/x
3. Step 3: Cross multiply
   82,602x = 181,035 × 181,035
4. Step 4: Simplify right side
   82,602x = 32,773,671,225
5. Step 5: Solve for x
   x = 32,773,671,225/82,602
6. Step 6: Final answer
   x = 396,766.07