Finding the Third Proportional to 191.81 and 401.63

Step by Step Solution

1. Step 1: Write the proportion equation
   191.81 : 401.63 = 401.63 : x
2. Step 2: Convert to fraction form
   191.81/401.63 = 401.63/x
3. Step 3: Cross multiply
   191.81x = 401.63 × 401.63
4. Step 4: Simplify right side
   191.81x = 161,302.64
5. Step 5: Solve for x
   x = 161,302.64/191.81
6. Step 6: Final answer
   x = 840.94