Finding the Third Proportional to 414,471.25 and 659,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,471.25 : 659,071.50 = 659,071.50 : x
2. Step 2: Convert to fraction form
   414,471.25/659,071.50 = 659,071.50/x
3. Step 3: Cross multiply
   414,471.25x = 659,071.50 × 659,071.50
4. Step 4: Simplify right side
   414,471.25x = 434,375,242,112.25
5. Step 5: Solve for x
   x = 434,375,242,112.25/414,471.25
6. Step 6: Final answer
   x = 1,048,022.61