Finding the Third Proportional to 147,333 and 321,654

Step by Step Solution

1. Step 1: Write the proportion equation
   147,333 : 321,654 = 321,654 : x
2. Step 2: Convert to fraction form
   147,333/321,654 = 321,654/x
3. Step 3: Cross multiply
   147,333x = 321,654 × 321,654
4. Step 4: Simplify right side
   147,333x = 103,461,295,716
5. Step 5: Solve for x
   x = 103,461,295,716/147,333
6. Step 6: Final answer
   x = 702,227.58