Finding the Third Proportional to 83,219 and 182,008

Step by Step Solution

1. Step 1: Write the proportion equation
   83,219 : 182,008 = 182,008 : x
2. Step 2: Convert to fraction form
   83,219/182,008 = 182,008/x
3. Step 3: Cross multiply
   83,219x = 182,008 × 182,008
4. Step 4: Simplify right side
   83,219x = 33,126,912,064
5. Step 5: Solve for x
   x = 33,126,912,064/83,219
6. Step 6: Final answer
   x = 398,069.10