Finding the Third Proportional to 102,245.50 and 209,449

Step by Step Solution

1. Step 1: Write the proportion equation
   102,245.50 : 209,449 = 209,449 : x
2. Step 2: Convert to fraction form
   102,245.50/209,449 = 209,449/x
3. Step 3: Cross multiply
   102,245.50x = 209,449 × 209,449
4. Step 4: Simplify right side
   102,245.50x = 43,868,883,601
5. Step 5: Solve for x
   x = 43,868,883,601/102,245.50
6. Step 6: Final answer
   x = 429,054.42