Finding the Third Proportional to 144,064 and 314,373

Step by Step Solution

1. Step 1: Write the proportion equation
   144,064 : 314,373 = 314,373 : x
2. Step 2: Convert to fraction form
   144,064/314,373 = 314,373/x
3. Step 3: Cross multiply
   144,064x = 314,373 × 314,373
4. Step 4: Simplify right side
   144,064x = 98,830,383,129
5. Step 5: Solve for x
   x = 98,830,383,129/144,064
6. Step 6: Final answer
   x = 686,017.21