Finding the Third Proportional to 82,764 and 178,650

Step by Step Solution

1. Step 1: Write the proportion equation
   82,764 : 178,650 = 178,650 : x
2. Step 2: Convert to fraction form
   82,764/178,650 = 178,650/x
3. Step 3: Cross multiply
   82,764x = 178,650 × 178,650
4. Step 4: Simplify right side
   82,764x = 31,915,822,500
5. Step 5: Solve for x
   x = 31,915,822,500/82,764
6. Step 6: Final answer
   x = 385,624.46