Finding the Third Proportional to 147,941 and 323,503

Step by Step Solution

1. Step 1: Write the proportion equation
   147,941 : 323,503 = 323,503 : x
2. Step 2: Convert to fraction form
   147,941/323,503 = 323,503/x
3. Step 3: Cross multiply
   147,941x = 323,503 × 323,503
4. Step 4: Simplify right side
   147,941x = 104,654,191,009
5. Step 5: Solve for x
   x = 104,654,191,009/147,941
6. Step 6: Final answer
   x = 707,404.92