Finding the Third Proportional to 72,582 and 114,057

Step by Step Solution

1. Step 1: Write the proportion equation
   72,582 : 114,057 = 114,057 : x
2. Step 2: Convert to fraction form
   72,582/114,057 = 114,057/x
3. Step 3: Cross multiply
   72,582x = 114,057 × 114,057
4. Step 4: Simplify right side
   72,582x = 13,008,999,249
5. Step 5: Solve for x
   x = 13,008,999,249/72,582
6. Step 6: Final answer
   x = 179,231.76