Finding the Third Proportional to 82,906 and 177,632

Step by Step Solution

1. Step 1: Write the proportion equation
   82,906 : 177,632 = 177,632 : x
2. Step 2: Convert to fraction form
   82,906/177,632 = 177,632/x
3. Step 3: Cross multiply
   82,906x = 177,632 × 177,632
4. Step 4: Simplify right side
   82,906x = 31,553,127,424
5. Step 5: Solve for x
   x = 31,553,127,424/82,906
6. Step 6: Final answer
   x = 380,589.19