Finding the Third Proportional to 200,738 and 436,468

Step by Step Solution

1. Step 1: Write the proportion equation
   200,738 : 436,468 = 436,468 : x
2. Step 2: Convert to fraction form
   200,738/436,468 = 436,468/x
3. Step 3: Cross multiply
   200,738x = 436,468 × 436,468
4. Step 4: Simplify right side
   200,738x = 190,504,315,024
5. Step 5: Solve for x
   x = 190,504,315,024/200,738
6. Step 6: Final answer
   x = 949,019.69