Finding the Third Proportional to 213,897 and 299,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,897 : 299,059.50 = 299,059.50 : x
2. Step 2: Convert to fraction form
   213,897/299,059.50 = 299,059.50/x
3. Step 3: Cross multiply
   213,897x = 299,059.50 × 299,059.50
4. Step 4: Simplify right side
   213,897x = 89,436,584,540.25
5. Step 5: Solve for x
   x = 89,436,584,540.25/213,897
6. Step 6: Final answer
   x = 418,129.21