Finding the Third Proportional to 295,470 and 443,097

Step by Step Solution

1. Step 1: Write the proportion equation
   295,470 : 443,097 = 443,097 : x
2. Step 2: Convert to fraction form
   295,470/443,097 = 443,097/x
3. Step 3: Cross multiply
   295,470x = 443,097 × 443,097
4. Step 4: Simplify right side
   295,470x = 196,334,951,409
5. Step 5: Solve for x
   x = 196,334,951,409/295,470
6. Step 6: Final answer
   x = 664,483.54