Finding the Third Proportional to 201,204 and 415,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,204 : 415,165.50 = 415,165.50 : x
2. Step 2: Convert to fraction form
   201,204/415,165.50 = 415,165.50/x
3. Step 3: Cross multiply
   201,204x = 415,165.50 × 415,165.50
4. Step 4: Simplify right side
   201,204x = 172,362,392,390.25
5. Step 5: Solve for x
   x = 172,362,392,390.25/201,204
6. Step 6: Final answer
   x = 856,654.90