Finding the Third Proportional to 175,980 and 414,996

Step by Step Solution

1. Step 1: Write the proportion equation
   175,980 : 414,996 = 414,996 : x
2. Step 2: Convert to fraction form
   175,980/414,996 = 414,996/x
3. Step 3: Cross multiply
   175,980x = 414,996 × 414,996
4. Step 4: Simplify right side
   175,980x = 172,221,680,016
5. Step 5: Solve for x
   x = 172,221,680,016/175,980
6. Step 6: Final answer
   x = 978,643.48