Finding the Third Proportional to 83,087 and 181,210

Step by Step Solution

1. Step 1: Write the proportion equation
   83,087 : 181,210 = 181,210 : x
2. Step 2: Convert to fraction form
   83,087/181,210 = 181,210/x
3. Step 3: Cross multiply
   83,087x = 181,210 × 181,210
4. Step 4: Simplify right side
   83,087x = 32,837,064,100
5. Step 5: Solve for x
   x = 32,837,064,100/83,087
6. Step 6: Final answer
   x = 395,213.02