Finding the Third Proportional to 82,119.50 and 178,181

Step by Step Solution

1. Step 1: Write the proportion equation
   82,119.50 : 178,181 = 178,181 : x
2. Step 2: Convert to fraction form
   82,119.50/178,181 = 178,181/x
3. Step 3: Cross multiply
   82,119.50x = 178,181 × 178,181
4. Step 4: Simplify right side
   82,119.50x = 31,748,468,761
5. Step 5: Solve for x
   x = 31,748,468,761/82,119.50
6. Step 6: Final answer
   x = 386,613.03