Finding the Third Proportional to 278,667 and 461,045.25

Step by Step Solution

1. Step 1: Write the proportion equation
   278,667 : 461,045.25 = 461,045.25 : x
2. Step 2: Convert to fraction form
   278,667/461,045.25 = 461,045.25/x
3. Step 3: Cross multiply
   278,667x = 461,045.25 × 461,045.25
4. Step 4: Simplify right side
   278,667x = 212,562,722,547.56
5. Step 5: Solve for x
   x = 212,562,722,547.56/278,667
6. Step 6: Final answer
   x = 762,783.98