Finding the Third Proportional to 294,930 and 645,054

Step by Step Solution

1. Step 1: Write the proportion equation
   294,930 : 645,054 = 645,054 : x
2. Step 2: Convert to fraction form
   294,930/645,054 = 645,054/x
3. Step 3: Cross multiply
   294,930x = 645,054 × 645,054
4. Step 4: Simplify right side
   294,930x = 416,094,662,916
5. Step 5: Solve for x
   x = 416,094,662,916/294,930
6. Step 6: Final answer
   x = 1,410,825.15