Finding the Third Proportional to 175,944 and 414,930

Step by Step Solution

1. Step 1: Write the proportion equation
   175,944 : 414,930 = 414,930 : x
2. Step 2: Convert to fraction form
   175,944/414,930 = 414,930/x
3. Step 3: Cross multiply
   175,944x = 414,930 × 414,930
4. Step 4: Simplify right side
   175,944x = 172,166,904,900
5. Step 5: Solve for x
   x = 172,166,904,900/175,944
6. Step 6: Final answer
   x = 978,532.40