Finding the Third Proportional to 82,056.19 and 176,667.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82,056.19 : 176,667.38 = 176,667.38 : x
2. Step 2: Convert to fraction form
   82,056.19/176,667.38 = 176,667.38/x
3. Step 3: Cross multiply
   82,056.19x = 176,667.38 × 176,667.38
4. Step 4: Simplify right side
   82,056.19x = 31,211,361,389.39
5. Step 5: Solve for x
   x = 31,211,361,389.39/82,056.19
6. Step 6: Final answer
   x = 380,365.73