Finding the Third Proportional to 125.58 and 200.46

Step by Step Solution

1. Step 1: Write the proportion equation
   125.58 : 200.46 = 200.46 : x
2. Step 2: Convert to fraction form
   125.58/200.46 = 200.46/x
3. Step 3: Cross multiply
   125.58x = 200.46 × 200.46
4. Step 4: Simplify right side
   125.58x = 40,184.59
5. Step 5: Solve for x
   x = 40,184.59/125.58
6. Step 6: Final answer
   x = 320.00