Finding the Third Proportional to 202,520 and 443,164

Step by Step Solution

1. Step 1: Write the proportion equation
   202,520 : 443,164 = 443,164 : x
2. Step 2: Convert to fraction form
   202,520/443,164 = 443,164/x
3. Step 3: Cross multiply
   202,520x = 443,164 × 443,164
4. Step 4: Simplify right side
   202,520x = 196,394,330,896
5. Step 5: Solve for x
   x = 196,394,330,896/202,520
6. Step 6: Final answer
   x = 969,752.77