Finding the Third Proportional to 319,870 and 684,032

Step by Step Solution

1. Step 1: Write the proportion equation
   319,870 : 684,032 = 684,032 : x
2. Step 2: Convert to fraction form
   319,870/684,032 = 684,032/x
3. Step 3: Cross multiply
   319,870x = 684,032 × 684,032
4. Step 4: Simplify right side
   319,870x = 467,899,777,024
5. Step 5: Solve for x
   x = 467,899,777,024/319,870
6. Step 6: Final answer
   x = 1,462,781.06