Finding the Third Proportional to 201.56 and 402.56

Step by Step Solution

1. Step 1: Write the proportion equation
   201.56 : 402.56 = 402.56 : x
2. Step 2: Convert to fraction form
   201.56/402.56 = 402.56/x
3. Step 3: Cross multiply
   201.56x = 402.56 × 402.56
4. Step 4: Simplify right side
   201.56x = 162,056.57
5. Step 5: Solve for x
   x = 162,056.57/201.56
6. Step 6: Final answer
   x = 804.00