Finding the Third Proportional to 77.91 and 143.16

Step by Step Solution

1. Step 1: Write the proportion equation
   77.91 : 143.16 = 143.16 : x
2. Step 2: Convert to fraction form
   77.91/143.16 = 143.16/x
3. Step 3: Cross multiply
   77.91x = 143.16 × 143.16
4. Step 4: Simplify right side
   77.91x = 20,493.71
5. Step 5: Solve for x
   x = 20,493.71/77.91
6. Step 6: Final answer
   x = 263.06