Finding the Third Proportional to 213,894 and 299,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,894 : 299,056.50 = 299,056.50 : x
2. Step 2: Convert to fraction form
   213,894/299,056.50 = 299,056.50/x
3. Step 3: Cross multiply
   213,894x = 299,056.50 × 299,056.50
4. Step 4: Simplify right side
   213,894x = 89,434,790,192.25
5. Step 5: Solve for x
   x = 89,434,790,192.25/213,894
6. Step 6: Final answer
   x = 418,126.69