Finding the Third Proportional to 82,744.50 and 178,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,744.50 : 178,609.50 = 178,609.50 : x
2. Step 2: Convert to fraction form
   82,744.50/178,609.50 = 178,609.50/x
3. Step 3: Cross multiply
   82,744.50x = 178,609.50 × 178,609.50
4. Step 4: Simplify right side
   82,744.50x = 31,901,353,490.25
5. Step 5: Solve for x
   x = 31,901,353,490.25/82,744.50
6. Step 6: Final answer
   x = 385,540.47