Finding the Third Proportional to 80,233 and 123,335

Step by Step Solution

1. Step 1: Write the proportion equation
   80,233 : 123,335 = 123,335 : x
2. Step 2: Convert to fraction form
   80,233/123,335 = 123,335/x
3. Step 3: Cross multiply
   80,233x = 123,335 × 123,335
4. Step 4: Simplify right side
   80,233x = 15,211,522,225
5. Step 5: Solve for x
   x = 15,211,522,225/80,233
6. Step 6: Final answer
   x = 189,591.84