Finding the Third Proportional to 213,751.50 and 457,368

Step by Step Solution

1. Step 1: Write the proportion equation
   213,751.50 : 457,368 = 457,368 : x
2. Step 2: Convert to fraction form
   213,751.50/457,368 = 457,368/x
3. Step 3: Cross multiply
   213,751.50x = 457,368 × 457,368
4. Step 4: Simplify right side
   213,751.50x = 209,185,487,424
5. Step 5: Solve for x
   x = 209,185,487,424/213,751.50
6. Step 6: Final answer
   x = 978,638.69