Finding the Third Proportional to 213,828.61 and 298,945.53

Step by Step Solution

1. Step 1: Write the proportion equation
   213,828.61 : 298,945.53 = 298,945.53 : x
2. Step 2: Convert to fraction form
   213,828.61/298,945.53 = 298,945.53/x
3. Step 3: Cross multiply
   213,828.61x = 298,945.53 × 298,945.53
4. Step 4: Simplify right side
   213,828.61x = 89,368,429,486.59
5. Step 5: Solve for x
   x = 89,368,429,486.59/213,828.61
6. Step 6: Final answer
   x = 417,944.21