Finding the Third Proportional to 82,902 and 177,633.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,902 : 177,633.38 = 177,633.38 : x
2. Step 2: Convert to fraction form
   82,902/177,633.38 = 177,633.38/x
3. Step 3: Cross multiply
   82,902x = 177,633.38 × 177,633.38
4. Step 4: Simplify right side
   82,902x = 31,553,615,913.89
5. Step 5: Solve for x
   x = 31,553,615,913.89/82,902
6. Step 6: Final answer
   x = 380,613.45