Finding the Third Proportional to 294,936 and 645,066

Step by Step Solution

1. Step 1: Write the proportion equation
   294,936 : 645,066 = 645,066 : x
2. Step 2: Convert to fraction form
   294,936/645,066 = 645,066/x
3. Step 3: Cross multiply
   294,936x = 645,066 × 645,066
4. Step 4: Simplify right side
   294,936x = 416,110,144,356
5. Step 5: Solve for x
   x = 416,110,144,356/294,936
6. Step 6: Final answer
   x = 1,410,848.94