Finding the Third Proportional to 190,298 and 414,500

Step by Step Solution

1. Step 1: Write the proportion equation
   190,298 : 414,500 = 414,500 : x
2. Step 2: Convert to fraction form
   190,298/414,500 = 414,500/x
3. Step 3: Cross multiply
   190,298x = 414,500 × 414,500
4. Step 4: Simplify right side
   190,298x = 171,810,250,000
5. Step 5: Solve for x
   x = 171,810,250,000/190,298
6. Step 6: Final answer
   x = 902,848.43