Finding the Third Proportional to 315,174 and 471,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,174 : 471,646.50 = 471,646.50 : x
2. Step 2: Convert to fraction form
   315,174/471,646.50 = 471,646.50/x
3. Step 3: Cross multiply
   315,174x = 471,646.50 × 471,646.50
4. Step 4: Simplify right side
   315,174x = 222,450,420,962.25
5. Step 5: Solve for x
   x = 222,450,420,962.25/315,174
6. Step 6: Final answer
   x = 705,801.94