Finding the Third Proportional to 147,665 and 320,035

Step by Step Solution

1. Step 1: Write the proportion equation
   147,665 : 320,035 = 320,035 : x
2. Step 2: Convert to fraction form
   147,665/320,035 = 320,035/x
3. Step 3: Cross multiply
   147,665x = 320,035 × 320,035
4. Step 4: Simplify right side
   147,665x = 102,422,401,225
5. Step 5: Solve for x
   x = 102,422,401,225/147,665
6. Step 6: Final answer
   x = 693,613.25