Finding the Third Proportional to 82,747 and 177,158

Step by Step Solution

1. Step 1: Write the proportion equation
   82,747 : 177,158 = 177,158 : x
2. Step 2: Convert to fraction form
   82,747/177,158 = 177,158/x
3. Step 3: Cross multiply
   82,747x = 177,158 × 177,158
4. Step 4: Simplify right side
   82,747x = 31,384,956,964
5. Step 5: Solve for x
   x = 31,384,956,964/82,747
6. Step 6: Final answer
   x = 379,288.16