Finding the Third Proportional to 416,736 and 622,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,736 : 622,357.50 = 622,357.50 : x
2. Step 2: Convert to fraction form
   416,736/622,357.50 = 622,357.50/x
3. Step 3: Cross multiply
   416,736x = 622,357.50 × 622,357.50
4. Step 4: Simplify right side
   416,736x = 387,328,857,806.25
5. Step 5: Solve for x
   x = 387,328,857,806.25/416,736
6. Step 6: Final answer
   x = 929,434.60