Finding the Third Proportional to 200,926 and 275,510

Step by Step Solution

1. Step 1: Write the proportion equation
   200,926 : 275,510 = 275,510 : x
2. Step 2: Convert to fraction form
   200,926/275,510 = 275,510/x
3. Step 3: Cross multiply
   200,926x = 275,510 × 275,510
4. Step 4: Simplify right side
   200,926x = 75,905,760,100
5. Step 5: Solve for x
   x = 75,905,760,100/200,926
6. Step 6: Final answer
   x = 377,779.68