Finding the Third Proportional to 175,763 and 414,738

Step by Step Solution

1. Step 1: Write the proportion equation
   175,763 : 414,738 = 414,738 : x
2. Step 2: Convert to fraction form
   175,763/414,738 = 414,738/x
3. Step 3: Cross multiply
   175,763x = 414,738 × 414,738
4. Step 4: Simplify right side
   175,763x = 172,007,608,644
5. Step 5: Solve for x
   x = 172,007,608,644/175,763
6. Step 6: Final answer
   x = 978,633.78