Finding the Third Proportional to 313,566.50 and 462,968

Step by Step Solution

1. Step 1: Write the proportion equation
   313,566.50 : 462,968 = 462,968 : x
2. Step 2: Convert to fraction form
   313,566.50/462,968 = 462,968/x
3. Step 3: Cross multiply
   313,566.50x = 462,968 × 462,968
4. Step 4: Simplify right side
   313,566.50x = 214,339,369,024
5. Step 5: Solve for x
   x = 214,339,369,024/313,566.50
6. Step 6: Final answer
   x = 683,553.15