Finding the Third Proportional to 144,036 and 314,064

Step by Step Solution

1. Step 1: Write the proportion equation
   144,036 : 314,064 = 314,064 : x
2. Step 2: Convert to fraction form
   144,036/314,064 = 314,064/x
3. Step 3: Cross multiply
   144,036x = 314,064 × 314,064
4. Step 4: Simplify right side
   144,036x = 98,636,196,096
5. Step 5: Solve for x
   x = 98,636,196,096/144,036
6. Step 6: Final answer
   x = 684,802.38