Finding the Third Proportional to 141,578 and 213,460

Step by Step Solution

1. Step 1: Write the proportion equation
   141,578 : 213,460 = 213,460 : x
2. Step 2: Convert to fraction form
   141,578/213,460 = 213,460/x
3. Step 3: Cross multiply
   141,578x = 213,460 × 213,460
4. Step 4: Simplify right side
   141,578x = 45,565,171,600
5. Step 5: Solve for x
   x = 45,565,171,600/141,578
6. Step 6: Final answer
   x = 321,837.94