Finding the Third Proportional to 414,697.50 and 903,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,697.50 : 903,145.50 = 903,145.50 : x
2. Step 2: Convert to fraction form
   414,697.50/903,145.50 = 903,145.50/x
3. Step 3: Cross multiply
   414,697.50x = 903,145.50 × 903,145.50
4. Step 4: Simplify right side
   414,697.50x = 815,671,794,170.25
5. Step 5: Solve for x
   x = 815,671,794,170.25/414,697.50
6. Step 6: Final answer
   x = 1,966,907.91