Finding the Third Proportional to 210,471 and 315,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,471 : 315,946.50 = 315,946.50 : x
2. Step 2: Convert to fraction form
   210,471/315,946.50 = 315,946.50/x
3. Step 3: Cross multiply
   210,471x = 315,946.50 × 315,946.50
4. Step 4: Simplify right side
   210,471x = 99,822,190,862.25
5. Step 5: Solve for x
   x = 99,822,190,862.25/210,471
6. Step 6: Final answer
   x = 474,280.02