Finding the Third Proportional to 414,784.50 and 659,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414,784.50 : 659,536.50 = 659,536.50 : x
2. Step 2: Convert to fraction form
   414,784.50/659,536.50 = 659,536.50/x
3. Step 3: Cross multiply
   414,784.50x = 659,536.50 × 659,536.50
4. Step 4: Simplify right side
   414,784.50x = 434,988,394,832.25
5. Step 5: Solve for x
   x = 434,988,394,832.25/414,784.50
6. Step 6: Final answer
   x = 1,048,709.38