Finding the Third Proportional to 213,849.56 and 298,976.06

Step by Step Solution

1. Step 1: Write the proportion equation
   213,849.56 : 298,976.06 = 298,976.06 : x
2. Step 2: Convert to fraction form
   213,849.56/298,976.06 = 298,976.06/x
3. Step 3: Cross multiply
   213,849.56x = 298,976.06 × 298,976.06
4. Step 4: Simplify right side
   213,849.56x = 89,386,685,948.00
5. Step 5: Solve for x
   x = 89,386,685,948.00/213,849.56
6. Step 6: Final answer
   x = 417,988.63