Finding the Third Proportional to 82,094 and 178,565

Step by Step Solution

1. Step 1: Write the proportion equation
   82,094 : 178,565 = 178,565 : x
2. Step 2: Convert to fraction form
   82,094/178,565 = 178,565/x
3. Step 3: Cross multiply
   82,094x = 178,565 × 178,565
4. Step 4: Simplify right side
   82,094x = 31,885,459,225
5. Step 5: Solve for x
   x = 31,885,459,225/82,094
6. Step 6: Final answer
   x = 388,401.82