Finding the Third Proportional to 464,492 and 654,112

Step by Step Solution

1. Step 1: Write the proportion equation
   464,492 : 654,112 = 654,112 : x
2. Step 2: Convert to fraction form
   464,492/654,112 = 654,112/x
3. Step 3: Cross multiply
   464,492x = 654,112 × 654,112
4. Step 4: Simplify right side
   464,492x = 427,862,508,544
5. Step 5: Solve for x
   x = 427,862,508,544/464,492
6. Step 6: Final answer
   x = 921,140.75