Finding the Third Proportional to 213,885 and 299,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,885 : 299,029.50 = 299,029.50 : x
2. Step 2: Convert to fraction form
   213,885/299,029.50 = 299,029.50/x
3. Step 3: Cross multiply
   213,885x = 299,029.50 × 299,029.50
4. Step 4: Simplify right side
   213,885x = 89,418,641,870.25
5. Step 5: Solve for x
   x = 89,418,641,870.25/213,885
6. Step 6: Final answer
   x = 418,068.78