Finding the Third Proportional to 89,982 and 208,314

Step by Step Solution

1. Step 1: Write the proportion equation
   89,982 : 208,314 = 208,314 : x
2. Step 2: Convert to fraction form
   89,982/208,314 = 208,314/x
3. Step 3: Cross multiply
   89,982x = 208,314 × 208,314
4. Step 4: Simplify right side
   89,982x = 43,394,722,596
5. Step 5: Solve for x
   x = 43,394,722,596/89,982
6. Step 6: Final answer
   x = 482,260.04