Finding the Third Proportional to 96,914 and 205,570

Step by Step Solution

1. Step 1: Write the proportion equation
   96,914 : 205,570 = 205,570 : x
2. Step 2: Convert to fraction form
   96,914/205,570 = 205,570/x
3. Step 3: Cross multiply
   96,914x = 205,570 × 205,570
4. Step 4: Simplify right side
   96,914x = 42,259,024,900
5. Step 5: Solve for x
   x = 42,259,024,900/96,914
6. Step 6: Final answer
   x = 436,046.65