Finding the Third Proportional to 147,345 and 321,676.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,345 : 321,676.50 = 321,676.50 : x
2. Step 2: Convert to fraction form
   147,345/321,676.50 = 321,676.50/x
3. Step 3: Cross multiply
   147,345x = 321,676.50 × 321,676.50
4. Step 4: Simplify right side
   147,345x = 103,475,770,652.25
5. Step 5: Solve for x
   x = 103,475,770,652.25/147,345
6. Step 6: Final answer
   x = 702,268.63