Finding the Third Proportional to 96,870 and 205,290

Step by Step Solution

1. Step 1: Write the proportion equation
   96,870 : 205,290 = 205,290 : x
2. Step 2: Convert to fraction form
   96,870/205,290 = 205,290/x
3. Step 3: Cross multiply
   96,870x = 205,290 × 205,290
4. Step 4: Simplify right side
   96,870x = 42,143,984,100
5. Step 5: Solve for x
   x = 42,143,984,100/96,870
6. Step 6: Final answer
   x = 435,057.13