Finding the Third Proportional to 149,868 and 313,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,868 : 313,591.50 = 313,591.50 : x
2. Step 2: Convert to fraction form
   149,868/313,591.50 = 313,591.50/x
3. Step 3: Cross multiply
   149,868x = 313,591.50 × 313,591.50
4. Step 4: Simplify right side
   149,868x = 98,339,628,872.25
5. Step 5: Solve for x
   x = 98,339,628,872.25/149,868
6. Step 6: Final answer
   x = 656,174.96