Finding the Third Proportional to 147,050 and 322,105

Step by Step Solution

1. Step 1: Write the proportion equation
   147,050 : 322,105 = 322,105 : x
2. Step 2: Convert to fraction form
   147,050/322,105 = 322,105/x
3. Step 3: Cross multiply
   147,050x = 322,105 × 322,105
4. Step 4: Simplify right side
   147,050x = 103,751,631,025
5. Step 5: Solve for x
   x = 103,751,631,025/147,050
6. Step 6: Final answer
   x = 705,553.42