Finding the Third Proportional to 205,164 and 443,124

Step by Step Solution

1. Step 1: Write the proportion equation
   205,164 : 443,124 = 443,124 : x
2. Step 2: Convert to fraction form
   205,164/443,124 = 443,124/x
3. Step 3: Cross multiply
   205,164x = 443,124 × 443,124
4. Step 4: Simplify right side
   205,164x = 196,358,879,376
5. Step 5: Solve for x
   x = 196,358,879,376/205,164
6. Step 6: Final answer
   x = 957,082.53