Finding the Third Proportional to 147,820 and 335,098

Step by Step Solution

1. Step 1: Write the proportion equation
   147,820 : 335,098 = 335,098 : x
2. Step 2: Convert to fraction form
   147,820/335,098 = 335,098/x
3. Step 3: Cross multiply
   147,820x = 335,098 × 335,098
4. Step 4: Simplify right side
   147,820x = 112,290,669,604
5. Step 5: Solve for x
   x = 112,290,669,604/147,820
6. Step 6: Final answer
   x = 759,644.63