Finding the Third Proportional to 414,476.50 and 659,083

Step by Step Solution

1. Step 1: Write the proportion equation
   414,476.50 : 659,083 = 659,083 : x
2. Step 2: Convert to fraction form
   414,476.50/659,083 = 659,083/x
3. Step 3: Cross multiply
   414,476.50x = 659,083 × 659,083
4. Step 4: Simplify right side
   414,476.50x = 434,390,400,889
5. Step 5: Solve for x
   x = 434,390,400,889/414,476.50
6. Step 6: Final answer
   x = 1,048,045.91