Finding the Third Proportional to 200,724 and 436,116

Step by Step Solution

1. Step 1: Write the proportion equation
   200,724 : 436,116 = 436,116 : x
2. Step 2: Convert to fraction form
   200,724/436,116 = 436,116/x
3. Step 3: Cross multiply
   200,724x = 436,116 × 436,116
4. Step 4: Simplify right side
   200,724x = 190,197,165,456
5. Step 5: Solve for x
   x = 190,197,165,456/200,724
6. Step 6: Final answer
   x = 947,555.68