Finding the Third Proportional to 150,814.50 and 314,033.25

Step by Step Solution

1. Step 1: Write the proportion equation
   150,814.50 : 314,033.25 = 314,033.25 : x
2. Step 2: Convert to fraction form
   150,814.50/314,033.25 = 314,033.25/x
3. Step 3: Cross multiply
   150,814.50x = 314,033.25 × 314,033.25
4. Step 4: Simplify right side
   150,814.50x = 98,616,882,105.56
5. Step 5: Solve for x
   x = 98,616,882,105.56/150,814.50
6. Step 6: Final answer
   x = 653,895.23