Finding the Third Proportional to 191.25 and 412.03

Step by Step Solution

1. Step 1: Write the proportion equation
   191.25 : 412.03 = 412.03 : x
2. Step 2: Convert to fraction form
   191.25/412.03 = 412.03/x
3. Step 3: Cross multiply
   191.25x = 412.03 × 412.03
4. Step 4: Simplify right side
   191.25x = 169,769.75
5. Step 5: Solve for x
   x = 169,769.75/191.25
6. Step 6: Final answer
   x = 887.68