Finding the Third Proportional to 186,978 and 410,244

Step by Step Solution

1. Step 1: Write the proportion equation
   186,978 : 410,244 = 410,244 : x
2. Step 2: Convert to fraction form
   186,978/410,244 = 410,244/x
3. Step 3: Cross multiply
   186,978x = 410,244 × 410,244
4. Step 4: Simplify right side
   186,978x = 168,300,139,536
5. Step 5: Solve for x
   x = 168,300,139,536/186,978
6. Step 6: Final answer
   x = 900,106.64