Finding the Third Proportional to 144,072 and 314,136

Step by Step Solution

1. Step 1: Write the proportion equation
   144,072 : 314,136 = 314,136 : x
2. Step 2: Convert to fraction form
   144,072/314,136 = 314,136/x
3. Step 3: Cross multiply
   144,072x = 314,136 × 314,136
4. Step 4: Simplify right side
   144,072x = 98,681,426,496
5. Step 5: Solve for x
   x = 98,681,426,496/144,072
6. Step 6: Final answer
   x = 684,945.21