Finding the Third Proportional to 213,909 and 464,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,909 : 464,764.50 = 464,764.50 : x
2. Step 2: Convert to fraction form
   213,909/464,764.50 = 464,764.50/x
3. Step 3: Cross multiply
   213,909x = 464,764.50 × 464,764.50
4. Step 4: Simplify right side
   213,909x = 216,006,040,460.25
5. Step 5: Solve for x
   x = 216,006,040,460.25/213,909
6. Step 6: Final answer
   x = 1,009,803.42