Finding the Third Proportional to 82,089 and 178,555.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,089 : 178,555.50 = 178,555.50 : x
2. Step 2: Convert to fraction form
   82,089/178,555.50 = 178,555.50/x
3. Step 3: Cross multiply
   82,089x = 178,555.50 × 178,555.50
4. Step 4: Simplify right side
   82,089x = 31,882,066,580.25
5. Step 5: Solve for x
   x = 31,882,066,580.25/82,089
6. Step 6: Final answer
   x = 388,384.15