Finding the Third Proportional to 147,058 and 322,150

Step by Step Solution

1. Step 1: Write the proportion equation
   147,058 : 322,150 = 322,150 : x
2. Step 2: Convert to fraction form
   147,058/322,150 = 322,150/x
3. Step 3: Cross multiply
   147,058x = 322,150 × 322,150
4. Step 4: Simplify right side
   147,058x = 103,780,622,500
5. Step 5: Solve for x
   x = 103,780,622,500/147,058
6. Step 6: Final answer
   x = 705,712.18