Finding the Third Proportional to 213,850 and 298,969

Step by Step Solution

1. Step 1: Write the proportion equation
   213,850 : 298,969 = 298,969 : x
2. Step 2: Convert to fraction form
   213,850/298,969 = 298,969/x
3. Step 3: Cross multiply
   213,850x = 298,969 × 298,969
4. Step 4: Simplify right side
   213,850x = 89,382,462,961
5. Step 5: Solve for x
   x = 89,382,462,961/213,850
6. Step 6: Final answer
   x = 417,968.03