Finding the Third Proportional to 414,834 and 904,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,834 : 904,756.50 = 904,756.50 : x
2. Step 2: Convert to fraction form
   414,834/904,756.50 = 904,756.50/x
3. Step 3: Cross multiply
   414,834x = 904,756.50 × 904,756.50
4. Step 4: Simplify right side
   414,834x = 818,584,324,292.25
5. Step 5: Solve for x
   x = 818,584,324,292.25/414,834
6. Step 6: Final answer
   x = 1,973,281.66