Finding the Third Proportional to 147,978 and 323,928

Step by Step Solution

1. Step 1: Write the proportion equation
   147,978 : 323,928 = 323,928 : x
2. Step 2: Convert to fraction form
   147,978/323,928 = 323,928/x
3. Step 3: Cross multiply
   147,978x = 323,928 × 323,928
4. Step 4: Simplify right side
   147,978x = 104,929,349,184
5. Step 5: Solve for x
   x = 104,929,349,184/147,978
6. Step 6: Final answer
   x = 709,087.49