Finding the Third Proportional to 147,832 and 324,012

Step by Step Solution

1. Step 1: Write the proportion equation
   147,832 : 324,012 = 324,012 : x
2. Step 2: Convert to fraction form
   147,832/324,012 = 324,012/x
3. Step 3: Cross multiply
   147,832x = 324,012 × 324,012
4. Step 4: Simplify right side
   147,832x = 104,983,776,144
5. Step 5: Solve for x
   x = 104,983,776,144/147,832
6. Step 6: Final answer
   x = 710,155.96