Finding the Third Proportional to 213,845.25 and 298,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,845.25 : 298,969.50 = 298,969.50 : x
2. Step 2: Convert to fraction form
   213,845.25/298,969.50 = 298,969.50/x
3. Step 3: Cross multiply
   213,845.25x = 298,969.50 × 298,969.50
4. Step 4: Simplify right side
   213,845.25x = 89,382,761,930.25
5. Step 5: Solve for x
   x = 89,382,761,930.25/213,845.25
6. Step 6: Final answer
   x = 417,978.71