Finding the Third Proportional to 205,822 and 447,726

Step by Step Solution

1. Step 1: Write the proportion equation
   205,822 : 447,726 = 447,726 : x
2. Step 2: Convert to fraction form
   205,822/447,726 = 447,726/x
3. Step 3: Cross multiply
   205,822x = 447,726 × 447,726
4. Step 4: Simplify right side
   205,822x = 200,458,571,076
5. Step 5: Solve for x
   x = 200,458,571,076/205,822
6. Step 6: Final answer
   x = 973,941.42