Finding the Third Proportional to 82,242 and 176,144

Step by Step Solution

1. Step 1: Write the proportion equation
   82,242 : 176,144 = 176,144 : x
2. Step 2: Convert to fraction form
   82,242/176,144 = 176,144/x
3. Step 3: Cross multiply
   82,242x = 176,144 × 176,144
4. Step 4: Simplify right side
   82,242x = 31,026,708,736
5. Step 5: Solve for x
   x = 31,026,708,736/82,242
6. Step 6: Final answer
   x = 377,261.12