Finding the Third Proportional to 319,164 and 472,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   319,164 : 472,583.50 = 472,583.50 : x
2. Step 2: Convert to fraction form
   319,164/472,583.50 = 472,583.50/x
3. Step 3: Cross multiply
   319,164x = 472,583.50 × 472,583.50
4. Step 4: Simplify right side
   319,164x = 223,335,164,472.25
5. Step 5: Solve for x
   x = 223,335,164,472.25/319,164
6. Step 6: Final answer
   x = 699,750.49