Finding the Third Proportional to 82,436 and 178,012

Step by Step Solution

1. Step 1: Write the proportion equation
   82,436 : 178,012 = 178,012 : x
2. Step 2: Convert to fraction form
   82,436/178,012 = 178,012/x
3. Step 3: Cross multiply
   82,436x = 178,012 × 178,012
4. Step 4: Simplify right side
   82,436x = 31,688,272,144
5. Step 5: Solve for x
   x = 31,688,272,144/82,436
6. Step 6: Final answer
   x = 384,398.47