Finding the Third Proportional to 191.06 and 415.69

Step by Step Solution

1. Step 1: Write the proportion equation
   191.06 : 415.69 = 415.69 : x
2. Step 2: Convert to fraction form
   191.06/415.69 = 415.69/x
3. Step 3: Cross multiply
   191.06x = 415.69 × 415.69
4. Step 4: Simplify right side
   191.06x = 172,796.10
5. Step 5: Solve for x
   x = 172,796.10/191.06
6. Step 6: Final answer
   x = 904.40