Finding the Third Proportional to 213,769 and 464,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,769 : 464,500.50 = 464,500.50 : x
2. Step 2: Convert to fraction form
   213,769/464,500.50 = 464,500.50/x
3. Step 3: Cross multiply
   213,769x = 464,500.50 × 464,500.50
4. Step 4: Simplify right side
   213,769x = 215,760,714,500.25
5. Step 5: Solve for x
   x = 215,760,714,500.25/213,769
6. Step 6: Final answer
   x = 1,009,317.13