Finding the Third Proportional to 82,216 and 123,336

Step by Step Solution

1. Step 1: Write the proportion equation
   82,216 : 123,336 = 123,336 : x
2. Step 2: Convert to fraction form
   82,216/123,336 = 123,336/x
3. Step 3: Cross multiply
   82,216x = 123,336 × 123,336
4. Step 4: Simplify right side
   82,216x = 15,211,768,896
5. Step 5: Solve for x
   x = 15,211,768,896/82,216
6. Step 6: Final answer
   x = 185,022.00