Finding the Third Proportional to 72,580 and 114,055

Step by Step Solution

1. Step 1: Write the proportion equation
   72,580 : 114,055 = 114,055 : x
2. Step 2: Convert to fraction form
   72,580/114,055 = 114,055/x
3. Step 3: Cross multiply
   72,580x = 114,055 × 114,055
4. Step 4: Simplify right side
   72,580x = 13,008,543,025
5. Step 5: Solve for x
   x = 13,008,543,025/72,580
6. Step 6: Final answer
   x = 179,230.41