Finding the Third Proportional to 308,580 and 462,870

Step by Step Solution

1. Step 1: Write the proportion equation
   308,580 : 462,870 = 462,870 : x
2. Step 2: Convert to fraction form
   308,580/462,870 = 462,870/x
3. Step 3: Cross multiply
   308,580x = 462,870 × 462,870
4. Step 4: Simplify right side
   308,580x = 214,248,636,900
5. Step 5: Solve for x
   x = 214,248,636,900/308,580
6. Step 6: Final answer
   x = 694,305