Finding the Third Proportional to 147,877 and 320,665

Step by Step Solution

1. Step 1: Write the proportion equation
   147,877 : 320,665 = 320,665 : x
2. Step 2: Convert to fraction form
   147,877/320,665 = 320,665/x
3. Step 3: Cross multiply
   147,877x = 320,665 × 320,665
4. Step 4: Simplify right side
   147,877x = 102,826,042,225
5. Step 5: Solve for x
   x = 102,826,042,225/147,877
6. Step 6: Final answer
   x = 695,348.45