Finding the Third Proportional to 144,084 and 314,160

Step by Step Solution

1. Step 1: Write the proportion equation
   144,084 : 314,160 = 314,160 : x
2. Step 2: Convert to fraction form
   144,084/314,160 = 314,160/x
3. Step 3: Cross multiply
   144,084x = 314,160 × 314,160
4. Step 4: Simplify right side
   144,084x = 98,696,505,600
5. Step 5: Solve for x
   x = 98,696,505,600/144,084
6. Step 6: Final answer
   x = 684,992.82