Finding the Third Proportional to 213,376 and 355,648

Step by Step Solution

1. Step 1: Write the proportion equation
   213,376 : 355,648 = 355,648 : x
2. Step 2: Convert to fraction form
   213,376/355,648 = 355,648/x
3. Step 3: Cross multiply
   213,376x = 355,648 × 355,648
4. Step 4: Simplify right side
   213,376x = 126,485,499,904
5. Step 5: Solve for x
   x = 126,485,499,904/213,376
6. Step 6: Final answer
   x = 592,782.22