Finding the Third Proportional to 147,726 and 322,179

Step by Step Solution

1. Step 1: Write the proportion equation
   147,726 : 322,179 = 322,179 : x
2. Step 2: Convert to fraction form
   147,726/322,179 = 322,179/x
3. Step 3: Cross multiply
   147,726x = 322,179 × 322,179
4. Step 4: Simplify right side
   147,726x = 103,799,308,041
5. Step 5: Solve for x
   x = 103,799,308,041/147,726
6. Step 6: Final answer
   x = 702,647.52