Finding the Third Proportional to 89,981 and 208,310

Step by Step Solution

1. Step 1: Write the proportion equation
   89,981 : 208,310 = 208,310 : x
2. Step 2: Convert to fraction form
   89,981/208,310 = 208,310/x
3. Step 3: Cross multiply
   89,981x = 208,310 × 208,310
4. Step 4: Simplify right side
   89,981x = 43,393,056,100
5. Step 5: Solve for x
   x = 43,393,056,100/89,981
6. Step 6: Final answer
   x = 482,246.88