Finding the Third Proportional to 147,824 and 335,108

Step by Step Solution

1. Step 1: Write the proportion equation
   147,824 : 335,108 = 335,108 : x
2. Step 2: Convert to fraction form
   147,824/335,108 = 335,108/x
3. Step 3: Cross multiply
   147,824x = 335,108 × 335,108
4. Step 4: Simplify right side
   147,824x = 112,297,371,664
5. Step 5: Solve for x
   x = 112,297,371,664/147,824
6. Step 6: Final answer
   x = 759,669.42