Finding the Third Proportional to 462,144 and 618,152

Step by Step Solution

1. Step 1: Write the proportion equation
   462,144 : 618,152 = 618,152 : x
2. Step 2: Convert to fraction form
   462,144/618,152 = 618,152/x
3. Step 3: Cross multiply
   462,144x = 618,152 × 618,152
4. Step 4: Simplify right side
   462,144x = 382,111,895,104
5. Step 5: Solve for x
   x = 382,111,895,104/462,144
6. Step 6: Final answer
   x = 826,824.31