Finding the Third Proportional to 205,458 and 448,290

Step by Step Solution

1. Step 1: Write the proportion equation
   205,458 : 448,290 = 448,290 : x
2. Step 2: Convert to fraction form
   205,458/448,290 = 448,290/x
3. Step 3: Cross multiply
   205,458x = 448,290 × 448,290
4. Step 4: Simplify right side
   205,458x = 200,963,924,100
5. Step 5: Solve for x
   x = 200,963,924,100/205,458
6. Step 6: Final answer
   x = 978,126.55