Finding the Third Proportional to 144,886.50 and 311,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,886.50 : 311,008.50 = 311,008.50 : x
2. Step 2: Convert to fraction form
   144,886.50/311,008.50 = 311,008.50/x
3. Step 3: Cross multiply
   144,886.50x = 311,008.50 × 311,008.50
4. Step 4: Simplify right side
   144,886.50x = 96,726,287,072.25
5. Step 5: Solve for x
   x = 96,726,287,072.25/144,886.50
6. Step 6: Final answer
   x = 667,600.41