Finding the Third Proportional to 201,924 and 443,016

Step by Step Solution

1. Step 1: Write the proportion equation
   201,924 : 443,016 = 443,016 : x
2. Step 2: Convert to fraction form
   201,924/443,016 = 443,016/x
3. Step 3: Cross multiply
   201,924x = 443,016 × 443,016
4. Step 4: Simplify right side
   201,924x = 196,263,176,256
5. Step 5: Solve for x
   x = 196,263,176,256/201,924
6. Step 6: Final answer
   x = 971,965.57