Finding the Third Proportional to 311,941.50 and 472,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,941.50 : 472,315.50 = 472,315.50 : x
2. Step 2: Convert to fraction form
   311,941.50/472,315.50 = 472,315.50/x
3. Step 3: Cross multiply
   311,941.50x = 472,315.50 × 472,315.50
4. Step 4: Simplify right side
   311,941.50x = 223,081,931,540.25
5. Step 5: Solve for x
   x = 223,081,931,540.25/311,941.50
6. Step 6: Final answer
   x = 715,140.28