Finding the Third Proportional to 252,303.50 and 298,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   252,303.50 : 298,383.50 = 298,383.50 : x
2. Step 2: Convert to fraction form
   252,303.50/298,383.50 = 298,383.50/x
3. Step 3: Cross multiply
   252,303.50x = 298,383.50 × 298,383.50
4. Step 4: Simplify right side
   252,303.50x = 89,032,713,072.25
5. Step 5: Solve for x
   x = 89,032,713,072.25/252,303.50
6. Step 6: Final answer
   x = 352,879.42