Finding the Third Proportional to 294,921 and 645,036.75

Step by Step Solution

1. Step 1: Write the proportion equation
   294,921 : 645,036.75 = 645,036.75 : x
2. Step 2: Convert to fraction form
   294,921/645,036.75 = 645,036.75/x
3. Step 3: Cross multiply
   294,921x = 645,036.75 × 645,036.75
4. Step 4: Simplify right side
   294,921x = 416,072,408,850.56
5. Step 5: Solve for x
   x = 416,072,408,850.56/294,921
6. Step 6: Final answer
   x = 1,410,792.75