Finding the Third Proportional to 88,233 and 208,257

Step by Step Solution

1. Step 1: Write the proportion equation
   88,233 : 208,257 = 208,257 : x
2. Step 2: Convert to fraction form
   88,233/208,257 = 208,257/x
3. Step 3: Cross multiply
   88,233x = 208,257 × 208,257
4. Step 4: Simplify right side
   88,233x = 43,370,978,049
5. Step 5: Solve for x
   x = 43,370,978,049/88,233
6. Step 6: Final answer
   x = 491,550.53