Finding the Third Proportional to 83,568.38 and 178,800.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,568.38 : 178,800.75 = 178,800.75 : x
2. Step 2: Convert to fraction form
   83,568.38/178,800.75 = 178,800.75/x
3. Step 3: Cross multiply
   83,568.38x = 178,800.75 × 178,800.75
4. Step 4: Simplify right side
   83,568.38x = 31,969,708,200.56
5. Step 5: Solve for x
   x = 31,969,708,200.56/83,568.38
6. Step 6: Final answer
   x = 382,557.49