Finding the Third Proportional to 414,150 and 903,271

Step by Step Solution

1. Step 1: Write the proportion equation
   414,150 : 903,271 = 903,271 : x
2. Step 2: Convert to fraction form
   414,150/903,271 = 903,271/x
3. Step 3: Cross multiply
   414,150x = 903,271 × 903,271
4. Step 4: Simplify right side
   414,150x = 815,898,499,441
5. Step 5: Solve for x
   x = 815,898,499,441/414,150
6. Step 6: Final answer
   x = 1,970,055.53