Finding the Third Proportional to 147,564 and 321,405.75

Step by Step Solution

1. Step 1: Write the proportion equation
   147,564 : 321,405.75 = 321,405.75 : x
2. Step 2: Convert to fraction form
   147,564/321,405.75 = 321,405.75/x
3. Step 3: Cross multiply
   147,564x = 321,405.75 × 321,405.75
4. Step 4: Simplify right side
   147,564x = 103,301,656,133.06
5. Step 5: Solve for x
   x = 103,301,656,133.06/147,564
6. Step 6: Final answer
   x = 700,046.46