Finding the Third Proportional to 82,812 and 178,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,812 : 178,738.50 = 178,738.50 : x
2. Step 2: Convert to fraction form
   82,812/178,738.50 = 178,738.50/x
3. Step 3: Cross multiply
   82,812x = 178,738.50 × 178,738.50
4. Step 4: Simplify right side
   82,812x = 31,947,451,382.25
5. Step 5: Solve for x
   x = 31,947,451,382.25/82,812
6. Step 6: Final answer
   x = 385,782.87