Finding the Third Proportional to 117,892 and 182,550

Step by Step Solution

1. Step 1: Write the proportion equation
   117,892 : 182,550 = 182,550 : x
2. Step 2: Convert to fraction form
   117,892/182,550 = 182,550/x
3. Step 3: Cross multiply
   117,892x = 182,550 × 182,550
4. Step 4: Simplify right side
   117,892x = 33,324,502,500
5. Step 5: Solve for x
   x = 33,324,502,500/117,892
6. Step 6: Final answer
   x = 282,669.75