Finding the Third Proportional to 213,880 and 299,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,880 : 299,008.50 = 299,008.50 : x
2. Step 2: Convert to fraction form
   213,880/299,008.50 = 299,008.50/x
3. Step 3: Cross multiply
   213,880x = 299,008.50 × 299,008.50
4. Step 4: Simplify right side
   213,880x = 89,406,083,072.25
5. Step 5: Solve for x
   x = 89,406,083,072.25/213,880
6. Step 6: Final answer
   x = 418,019.84