Finding the Third Proportional to 123.19 and 191.53

Step by Step Solution

1. Step 1: Write the proportion equation
   123.19 : 191.53 = 191.53 : x
2. Step 2: Convert to fraction form
   123.19/191.53 = 191.53/x
3. Step 3: Cross multiply
   123.19x = 191.53 × 191.53
4. Step 4: Simplify right side
   123.19x = 36,684.22
5. Step 5: Solve for x
   x = 36,684.22/123.19
6. Step 6: Final answer
   x = 297.79