Finding the Third Proportional to 213,934.50 and 433,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,934.50 : 433,768.50 = 433,768.50 : x
2. Step 2: Convert to fraction form
   213,934.50/433,768.50 = 433,768.50/x
3. Step 3: Cross multiply
   213,934.50x = 433,768.50 × 433,768.50
4. Step 4: Simplify right side
   213,934.50x = 188,155,111,592.25
5. Step 5: Solve for x
   x = 188,155,111,592.25/213,934.50
6. Step 6: Final answer
   x = 879,498.69