Finding the Third Proportional to 147,714 and 322,155

Step by Step Solution

1. Step 1: Write the proportion equation
   147,714 : 322,155 = 322,155 : x
2. Step 2: Convert to fraction form
   147,714/322,155 = 322,155/x
3. Step 3: Cross multiply
   147,714x = 322,155 × 322,155
4. Step 4: Simplify right side
   147,714x = 103,783,844,025
5. Step 5: Solve for x
   x = 103,783,844,025/147,714
6. Step 6: Final answer
   x = 702,599.92