Finding the Third Proportional to 208,981 and 298,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,981 : 298,729.50 = 298,729.50 : x
2. Step 2: Convert to fraction form
   208,981/298,729.50 = 298,729.50/x
3. Step 3: Cross multiply
   208,981x = 298,729.50 × 298,729.50
4. Step 4: Simplify right side
   208,981x = 89,239,314,170.25
5. Step 5: Solve for x
   x = 89,239,314,170.25/208,981
6. Step 6: Final answer
   x = 427,021.18