Finding the Third Proportional to 144,110 and 314,977

Step by Step Solution

1. Step 1: Write the proportion equation
   144,110 : 314,977 = 314,977 : x
2. Step 2: Convert to fraction form
   144,110/314,977 = 314,977/x
3. Step 3: Cross multiply
   144,110x = 314,977 × 314,977
4. Step 4: Simplify right side
   144,110x = 99,210,510,529
5. Step 5: Solve for x
   x = 99,210,510,529/144,110
6. Step 6: Final answer
   x = 688,435.99