Finding the Third Proportional to 82,365 and 178,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,365 : 178,768.50 = 178,768.50 : x
2. Step 2: Convert to fraction form
   82,365/178,768.50 = 178,768.50/x
3. Step 3: Cross multiply
   82,365x = 178,768.50 × 178,768.50
4. Step 4: Simplify right side
   82,365x = 31,958,176,592.25
5. Step 5: Solve for x
   x = 31,958,176,592.25/82,365
6. Step 6: Final answer
   x = 388,006.76