Finding the Third Proportional to 416,268 and 553,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416,268 : 553,405.50 = 553,405.50 : x
2. Step 2: Convert to fraction form
   416,268/553,405.50 = 553,405.50/x
3. Step 3: Cross multiply
   416,268x = 553,405.50 × 553,405.50
4. Step 4: Simplify right side
   416,268x = 306,257,647,430.25
5. Step 5: Solve for x
   x = 306,257,647,430.25/416,268
6. Step 6: Final answer
   x = 735,722.29