Finding the Third Proportional to 175,902 and 414,826

Step by Step Solution

1. Step 1: Write the proportion equation
   175,902 : 414,826 = 414,826 : x
2. Step 2: Convert to fraction form
   175,902/414,826 = 414,826/x
3. Step 3: Cross multiply
   175,902x = 414,826 × 414,826
4. Step 4: Simplify right side
   175,902x = 172,080,610,276
5. Step 5: Solve for x
   x = 172,080,610,276/175,902
6. Step 6: Final answer
   x = 978,275.46