Finding the Third Proportional to 83,294 and 178,492

Step by Step Solution

1. Step 1: Write the proportion equation
   83,294 : 178,492 = 178,492 : x
2. Step 2: Convert to fraction form
   83,294/178,492 = 178,492/x
3. Step 3: Cross multiply
   83,294x = 178,492 × 178,492
4. Step 4: Simplify right side
   83,294x = 31,859,394,064
5. Step 5: Solve for x
   x = 31,859,394,064/83,294
6. Step 6: Final answer
   x = 382,493.27