Finding the Third Proportional to 194,954 and 405,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,954 : 405,230.50 = 405,230.50 : x
2. Step 2: Convert to fraction form
   194,954/405,230.50 = 405,230.50/x
3. Step 3: Cross multiply
   194,954x = 405,230.50 × 405,230.50
4. Step 4: Simplify right side
   194,954x = 164,211,758,130.25
5. Step 5: Solve for x
   x = 164,211,758,130.25/194,954
6. Step 6: Final answer
   x = 842,310.28