Finding the Third Proportional to 83,090 and 181,218

Step by Step Solution

1. Step 1: Write the proportion equation
   83,090 : 181,218 = 181,218 : x
2. Step 2: Convert to fraction form
   83,090/181,218 = 181,218/x
3. Step 3: Cross multiply
   83,090x = 181,218 × 181,218
4. Step 4: Simplify right side
   83,090x = 32,839,963,524
5. Step 5: Solve for x
   x = 32,839,963,524/83,090
6. Step 6: Final answer
   x = 395,233.64