Finding the Third Proportional to 194,871 and 285,394.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,871 : 285,394.50 = 285,394.50 : x
2. Step 2: Convert to fraction form
   194,871/285,394.50 = 285,394.50/x
3. Step 3: Cross multiply
   194,871x = 285,394.50 × 285,394.50
4. Step 4: Simplify right side
   194,871x = 81,450,020,630.25
5. Step 5: Solve for x
   x = 81,450,020,630.25/194,871
6. Step 6: Final answer
   x = 417,968.92