Finding the Third Proportional to 213,892 and 299,050.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,892 : 299,050.50 = 299,050.50 : x
2. Step 2: Convert to fraction form
   213,892/299,050.50 = 299,050.50/x
3. Step 3: Cross multiply
   213,892x = 299,050.50 × 299,050.50
4. Step 4: Simplify right side
   213,892x = 89,431,201,550.25
5. Step 5: Solve for x
   x = 89,431,201,550.25/213,892
6. Step 6: Final answer
   x = 418,113.82