Finding the Third Proportional to 147,942 and 325,350

Step by Step Solution

1. Step 1: Write the proportion equation
   147,942 : 325,350 = 325,350 : x
2. Step 2: Convert to fraction form
   147,942/325,350 = 325,350/x
3. Step 3: Cross multiply
   147,942x = 325,350 × 325,350
4. Step 4: Simplify right side
   147,942x = 105,852,622,500
5. Step 5: Solve for x
   x = 105,852,622,500/147,942
6. Step 6: Final answer
   x = 715,500.82