Finding the Third Proportional to 315,154.50 and 471,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,154.50 : 471,616.50 = 471,616.50 : x
2. Step 2: Convert to fraction form
   315,154.50/471,616.50 = 471,616.50/x
3. Step 3: Cross multiply
   315,154.50x = 471,616.50 × 471,616.50
4. Step 4: Simplify right side
   315,154.50x = 222,422,123,072.25
5. Step 5: Solve for x
   x = 222,422,123,072.25/315,154.50
6. Step 6: Final answer
   x = 705,755.82