Finding the Third Proportional to 190,654 and 414,510

Step by Step Solution

1. Step 1: Write the proportion equation
   190,654 : 414,510 = 414,510 : x
2. Step 2: Convert to fraction form
   190,654/414,510 = 414,510/x
3. Step 3: Cross multiply
   190,654x = 414,510 × 414,510
4. Step 4: Simplify right side
   190,654x = 171,818,540,100
5. Step 5: Solve for x
   x = 171,818,540,100/190,654
6. Step 6: Final answer
   x = 901,206.06