Finding the Third Proportional to 278,964 and 417,367.69

Step by Step Solution

1. Step 1: Write the proportion equation
   278,964 : 417,367.69 = 417,367.69 : x
2. Step 2: Convert to fraction form
   278,964/417,367.69 = 417,367.69/x
3. Step 3: Cross multiply
   278,964x = 417,367.69 × 417,367.69
4. Step 4: Simplify right side
   278,964x = 174,195,786,569.10
5. Step 5: Solve for x
   x = 174,195,786,569.10/278,964
6. Step 6: Final answer
   x = 624,438.23