Finding the Third Proportional to 315,234 and 471,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   315,234 : 471,736.50 = 471,736.50 : x
2. Step 2: Convert to fraction form
   315,234/471,736.50 = 471,736.50/x
3. Step 3: Cross multiply
   315,234x = 471,736.50 × 471,736.50
4. Step 4: Simplify right side
   315,234x = 222,535,325,432.25
5. Step 5: Solve for x
   x = 222,535,325,432.25/315,234
6. Step 6: Final answer
   x = 705,936.94