Finding the Third Proportional to 147,017 and 322,054

Step by Step Solution

1. Step 1: Write the proportion equation
   147,017 : 322,054 = 322,054 : x
2. Step 2: Convert to fraction form
   147,017/322,054 = 322,054/x
3. Step 3: Cross multiply
   147,017x = 322,054 × 322,054
4. Step 4: Simplify right side
   147,017x = 103,718,778,916
5. Step 5: Solve for x
   x = 103,718,778,916/147,017
6. Step 6: Final answer
   x = 705,488.34