Finding the Third Proportional to 314,024 and 654,612

Step by Step Solution

1. Step 1: Write the proportion equation
   314,024 : 654,612 = 654,612 : x
2. Step 2: Convert to fraction form
   314,024/654,612 = 654,612/x
3. Step 3: Cross multiply
   314,024x = 654,612 × 654,612
4. Step 4: Simplify right side
   314,024x = 428,516,870,544
5. Step 5: Solve for x
   x = 428,516,870,544/314,024
6. Step 6: Final answer
   x = 1,364,599.11