Finding the Third Proportional to 147,570 and 322,665

Step by Step Solution

1. Step 1: Write the proportion equation
   147,570 : 322,665 = 322,665 : x
2. Step 2: Convert to fraction form
   147,570/322,665 = 322,665/x
3. Step 3: Cross multiply
   147,570x = 322,665 × 322,665
4. Step 4: Simplify right side
   147,570x = 104,112,702,225
5. Step 5: Solve for x
   x = 104,112,702,225/147,570
6. Step 6: Final answer
   x = 705,514.01