Finding the Third Proportional to 415,986 and 658,135.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,986 : 658,135.50 = 658,135.50 : x
2. Step 2: Convert to fraction form
   415,986/658,135.50 = 658,135.50/x
3. Step 3: Cross multiply
   415,986x = 658,135.50 × 658,135.50
4. Step 4: Simplify right side
   415,986x = 433,142,336,360.25
5. Step 5: Solve for x
   x = 433,142,336,360.25/415,986
6. Step 6: Final answer
   x = 1,041,242.58