Finding the Third Proportional to 200,776 and 436,540

Step by Step Solution

1. Step 1: Write the proportion equation
   200,776 : 436,540 = 436,540 : x
2. Step 2: Convert to fraction form
   200,776/436,540 = 436,540/x
3. Step 3: Cross multiply
   200,776x = 436,540 × 436,540
4. Step 4: Simplify right side
   200,776x = 190,567,171,600
5. Step 5: Solve for x
   x = 190,567,171,600/200,776
6. Step 6: Final answer
   x = 949,153.14