Finding the Third Proportional to 144,638 and 311,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,638 : 311,476.50 = 311,476.50 : x
2. Step 2: Convert to fraction form
   144,638/311,476.50 = 311,476.50/x
3. Step 3: Cross multiply
   144,638x = 311,476.50 × 311,476.50
4. Step 4: Simplify right side
   144,638x = 97,017,610,052.25
5. Step 5: Solve for x
   x = 97,017,610,052.25/144,638
6. Step 6: Final answer
   x = 670,761.56