Finding the Third Proportional to 400,184 and 562,836

Step by Step Solution

1. Step 1: Write the proportion equation
   400,184 : 562,836 = 562,836 : x
2. Step 2: Convert to fraction form
   400,184/562,836 = 562,836/x
3. Step 3: Cross multiply
   400,184x = 562,836 × 562,836
4. Step 4: Simplify right side
   400,184x = 316,784,362,896
5. Step 5: Solve for x
   x = 316,784,362,896/400,184
6. Step 6: Final answer
   x = 791,596.77