Finding the Third Proportional to 113,058 and 178,983

Step by Step Solution

1. Step 1: Write the proportion equation
   113,058 : 178,983 = 178,983 : x
2. Step 2: Convert to fraction form
   113,058/178,983 = 178,983/x
3. Step 3: Cross multiply
   113,058x = 178,983 × 178,983
4. Step 4: Simplify right side
   113,058x = 32,034,914,289
5. Step 5: Solve for x
   x = 32,034,914,289/113,058
6. Step 6: Final answer
   x = 283,349.38