Finding the Third Proportional to 399,941 and 562,488

Step by Step Solution

1. Step 1: Write the proportion equation
   399,941 : 562,488 = 562,488 : x
2. Step 2: Convert to fraction form
   399,941/562,488 = 562,488/x
3. Step 3: Cross multiply
   399,941x = 562,488 × 562,488
4. Step 4: Simplify right side
   399,941x = 316,392,750,144
5. Step 5: Solve for x
   x = 316,392,750,144/399,941
6. Step 6: Final answer
   x = 791,098.56