Finding the Third Proportional to 213,830.25 and 298,947

Step by Step Solution

1. Step 1: Write the proportion equation
   213,830.25 : 298,947 = 298,947 : x
2. Step 2: Convert to fraction form
   213,830.25/298,947 = 298,947/x
3. Step 3: Cross multiply
   213,830.25x = 298,947 × 298,947
4. Step 4: Simplify right side
   213,830.25x = 89,369,308,809
5. Step 5: Solve for x
   x = 89,369,308,809/213,830.25
6. Step 6: Final answer
   x = 417,945.12