Finding the Third Proportional to 147,692 and 323,978

Step by Step Solution

1. Step 1: Write the proportion equation
   147,692 : 323,978 = 323,978 : x
2. Step 2: Convert to fraction form
   147,692/323,978 = 323,978/x
3. Step 3: Cross multiply
   147,692x = 323,978 × 323,978
4. Step 4: Simplify right side
   147,692x = 104,961,744,484
5. Step 5: Solve for x
   x = 104,961,744,484/147,692
6. Step 6: Final answer
   x = 710,679.96