Finding the Third Proportional to 79,216 and 176,142

Step by Step Solution

1. Step 1: Write the proportion equation
   79,216 : 176,142 = 176,142 : x
2. Step 2: Convert to fraction form
   79,216/176,142 = 176,142/x
3. Step 3: Cross multiply
   79,216x = 176,142 × 176,142
4. Step 4: Simplify right side
   79,216x = 31,026,004,164
5. Step 5: Solve for x
   x = 31,026,004,164/79,216
6. Step 6: Final answer
   x = 391,663.35