Finding the Third Proportional to 82,492 and 178,160

Step by Step Solution

1. Step 1: Write the proportion equation
   82,492 : 178,160 = 178,160 : x
2. Step 2: Convert to fraction form
   82,492/178,160 = 178,160/x
3. Step 3: Cross multiply
   82,492x = 178,160 × 178,160
4. Step 4: Simplify right side
   82,492x = 31,740,985,600
5. Step 5: Solve for x
   x = 31,740,985,600/82,492
6. Step 6: Final answer
   x = 384,776.53