Finding the Third Proportional to 96,940 and 205,600

Step by Step Solution

1. Step 1: Write the proportion equation
   96,940 : 205,600 = 205,600 : x
2. Step 2: Convert to fraction form
   96,940/205,600 = 205,600/x
3. Step 3: Cross multiply
   96,940x = 205,600 × 205,600
4. Step 4: Simplify right side
   96,940x = 42,271,360,000
5. Step 5: Solve for x
   x = 42,271,360,000/96,940
6. Step 6: Final answer
   x = 436,056.94