Finding the Third Proportional to 269,300.25 and 417,559.88

Step by Step Solution

1. Step 1: Write the proportion equation
   269,300.25 : 417,559.88 = 417,559.88 : x
2. Step 2: Convert to fraction form
   269,300.25/417,559.88 = 417,559.88/x
3. Step 3: Cross multiply
   269,300.25x = 417,559.88 × 417,559.88
4. Step 4: Simplify right side
   269,300.25x = 174,356,249,210.02
5. Step 5: Solve for x
   x = 174,356,249,210.02/269,300.25
6. Step 6: Final answer
   x = 647,441.84