Finding the Third Proportional to 83,628 and 180,336

Step by Step Solution

1. Step 1: Write the proportion equation
   83,628 : 180,336 = 180,336 : x
2. Step 2: Convert to fraction form
   83,628/180,336 = 180,336/x
3. Step 3: Cross multiply
   83,628x = 180,336 × 180,336
4. Step 4: Simplify right side
   83,628x = 32,521,072,896
5. Step 5: Solve for x
   x = 32,521,072,896/83,628
6. Step 6: Final answer
   x = 388,877.80