Finding the Third Proportional to 190,298 and 409,300

Step by Step Solution

1. Step 1: Write the proportion equation
   190,298 : 409,300 = 409,300 : x
2. Step 2: Convert to fraction form
   190,298/409,300 = 409,300/x
3. Step 3: Cross multiply
   190,298x = 409,300 × 409,300
4. Step 4: Simplify right side
   190,298x = 167,526,490,000
5. Step 5: Solve for x
   x = 167,526,490,000/190,298
6. Step 6: Final answer
   x = 880,337.63