Finding the Third Proportional to 234,584 and 512,173.75

Step by Step Solution

1. Step 1: Write the proportion equation
   234,584 : 512,173.75 = 512,173.75 : x
2. Step 2: Convert to fraction form
   234,584/512,173.75 = 512,173.75/x
3. Step 3: Cross multiply
   234,584x = 512,173.75 × 512,173.75
4. Step 4: Simplify right side
   234,584x = 262,321,950,189.06
5. Step 5: Solve for x
   x = 262,321,950,189.06/234,584
6. Step 6: Final answer
   x = 1,118,243.15