Finding the Third Proportional to 83,662 and 180,356

Step by Step Solution

1. Step 1: Write the proportion equation
   83,662 : 180,356 = 180,356 : x
2. Step 2: Convert to fraction form
   83,662/180,356 = 180,356/x
3. Step 3: Cross multiply
   83,662x = 180,356 × 180,356
4. Step 4: Simplify right side
   83,662x = 32,528,286,736
5. Step 5: Solve for x
   x = 32,528,286,736/83,662
6. Step 6: Final answer
   x = 388,805.99