Finding the Third Proportional to 83,163.38 and 178,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,163.38 : 178,780.50 = 178,780.50 : x
2. Step 2: Convert to fraction form
   83,163.38/178,780.50 = 178,780.50/x
3. Step 3: Cross multiply
   83,163.38x = 178,780.50 × 178,780.50
4. Step 4: Simplify right side
   83,163.38x = 31,962,467,180.25
5. Step 5: Solve for x
   x = 31,962,467,180.25/83,163.38
6. Step 6: Final answer
   x = 384,333.45