Finding the Third Proportional to 147,706 and 322,145

Step by Step Solution

1. Step 1: Write the proportion equation
   147,706 : 322,145 = 322,145 : x
2. Step 2: Convert to fraction form
   147,706/322,145 = 322,145/x
3. Step 3: Cross multiply
   147,706x = 322,145 × 322,145
4. Step 4: Simplify right side
   147,706x = 103,777,401,025
5. Step 5: Solve for x
   x = 103,777,401,025/147,706
6. Step 6: Final answer
   x = 702,594.35