Finding the Third Proportional to 213,995.25 and 506,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,995.25 : 506,074.50 = 506,074.50 : x
2. Step 2: Convert to fraction form
   213,995.25/506,074.50 = 506,074.50/x
3. Step 3: Cross multiply
   213,995.25x = 506,074.50 × 506,074.50
4. Step 4: Simplify right side
   213,995.25x = 256,111,399,550.25
5. Step 5: Solve for x
   x = 256,111,399,550.25/213,995.25
6. Step 6: Final answer
   x = 1,196,808.81