Finding the Third Proportional to 82,319.50 and 176,912

Step by Step Solution

1. Step 1: Write the proportion equation
   82,319.50 : 176,912 = 176,912 : x
2. Step 2: Convert to fraction form
   82,319.50/176,912 = 176,912/x
3. Step 3: Cross multiply
   82,319.50x = 176,912 × 176,912
4. Step 4: Simplify right side
   82,319.50x = 31,297,855,744
5. Step 5: Solve for x
   x = 31,297,855,744/82,319.50
6. Step 6: Final answer
   x = 380,199.78