Finding the Third Proportional to 72.77 and 115.98

Step by Step Solution

1. Step 1: Write the proportion equation
   72.77 : 115.98 = 115.98 : x
2. Step 2: Convert to fraction form
   72.77/115.98 = 115.98/x
3. Step 3: Cross multiply
   72.77x = 115.98 × 115.98
4. Step 4: Simplify right side
   72.77x = 13,451.47
5. Step 5: Solve for x
   x = 13,451.47/72.77
6. Step 6: Final answer
   x = 184.84