Finding the Third Proportional to 107,082 and 233,224.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,082 : 233,224.50 = 233,224.50 : x
2. Step 2: Convert to fraction form
   107,082/233,224.50 = 233,224.50/x
3. Step 3: Cross multiply
   107,082x = 233,224.50 × 233,224.50
4. Step 4: Simplify right side
   107,082x = 54,393,667,400.25
5. Step 5: Solve for x
   x = 54,393,667,400.25/107,082
6. Step 6: Final answer
   x = 507,962.75