Finding the Third Proportional to 414,686.25 and 904,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,686.25 : 904,405.50 = 904,405.50 : x
2. Step 2: Convert to fraction form
   414,686.25/904,405.50 = 904,405.50/x
3. Step 3: Cross multiply
   414,686.25x = 904,405.50 × 904,405.50
4. Step 4: Simplify right side
   414,686.25x = 817,949,308,430.25
5. Step 5: Solve for x
   x = 817,949,308,430.25/414,686.25
6. Step 6: Final answer
   x = 1,972,453.41