Finding the Third Proportional to 72,582 and 114,058

Step by Step Solution

1. Step 1: Write the proportion equation
   72,582 : 114,058 = 114,058 : x
2. Step 2: Convert to fraction form
   72,582/114,058 = 114,058/x
3. Step 3: Cross multiply
   72,582x = 114,058 × 114,058
4. Step 4: Simplify right side
   72,582x = 13,009,227,364
5. Step 5: Solve for x
   x = 13,009,227,364/72,582
6. Step 6: Final answer
   x = 179,234.90