Finding the Third Proportional to 82,634 and 178,516

Step by Step Solution

1. Step 1: Write the proportion equation
   82,634 : 178,516 = 178,516 : x
2. Step 2: Convert to fraction form
   82,634/178,516 = 178,516/x
3. Step 3: Cross multiply
   82,634x = 178,516 × 178,516
4. Step 4: Simplify right side
   82,634x = 31,867,962,256
5. Step 5: Solve for x
   x = 31,867,962,256/82,634
6. Step 6: Final answer
   x = 385,651.94