Finding the Third Proportional to 145,665 and 311,568.75

Step by Step Solution

1. Step 1: Write the proportion equation
   145,665 : 311,568.75 = 311,568.75 : x
2. Step 2: Convert to fraction form
   145,665/311,568.75 = 311,568.75/x
3. Step 3: Cross multiply
   145,665x = 311,568.75 × 311,568.75
4. Step 4: Simplify right side
   145,665x = 97,075,085,976.56
5. Step 5: Solve for x
   x = 97,075,085,976.56/145,665
6. Step 6: Final answer
   x = 666,426.98