Finding the Third Proportional to 147,488 and 321,766

Step by Step Solution

1. Step 1: Write the proportion equation
   147,488 : 321,766 = 321,766 : x
2. Step 2: Convert to fraction form
   147,488/321,766 = 321,766/x
3. Step 3: Cross multiply
   147,488x = 321,766 × 321,766
4. Step 4: Simplify right side
   147,488x = 103,533,358,756
5. Step 5: Solve for x
   x = 103,533,358,756/147,488
6. Step 6: Final answer
   x = 701,978.19