Finding the Third Proportional to 147,490 and 321,770

Step by Step Solution

1. Step 1: Write the proportion equation
   147,490 : 321,770 = 321,770 : x
2. Step 2: Convert to fraction form
   147,490/321,770 = 321,770/x
3. Step 3: Cross multiply
   147,490x = 321,770 × 321,770
4. Step 4: Simplify right side
   147,490x = 103,535,932,900
5. Step 5: Solve for x
   x = 103,535,932,900/147,490
6. Step 6: Final answer
   x = 701,986.12