Finding the Third Proportional to 313,572 and 462,978

Step by Step Solution

1. Step 1: Write the proportion equation
   313,572 : 462,978 = 462,978 : x
2. Step 2: Convert to fraction form
   313,572/462,978 = 462,978/x
3. Step 3: Cross multiply
   313,572x = 462,978 × 462,978
4. Step 4: Simplify right side
   313,572x = 214,348,628,484
5. Step 5: Solve for x
   x = 214,348,628,484/313,572
6. Step 6: Final answer
   x = 683,570.69