Finding the Third Proportional to 117,738 and 176,144

Step by Step Solution

1. Step 1: Write the proportion equation
   117,738 : 176,144 = 176,144 : x
2. Step 2: Convert to fraction form
   117,738/176,144 = 176,144/x
3. Step 3: Cross multiply
   117,738x = 176,144 × 176,144
4. Step 4: Simplify right side
   117,738x = 31,026,708,736
5. Step 5: Solve for x
   x = 31,026,708,736/117,738
6. Step 6: Final answer
   x = 263,523.32