Finding the Third Proportional to 234,648 and 512,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   234,648 : 512,320.50 = 512,320.50 : x
2. Step 2: Convert to fraction form
   234,648/512,320.50 = 512,320.50/x
3. Step 3: Cross multiply
   234,648x = 512,320.50 × 512,320.50
4. Step 4: Simplify right side
   234,648x = 262,472,294,720.25
5. Step 5: Solve for x
   x = 262,472,294,720.25/234,648
6. Step 6: Final answer
   x = 1,118,578.87