Finding the Third Proportional to 82,516.50 and 178,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,516.50 : 178,168.50 = 178,168.50 : x
2. Step 2: Convert to fraction form
   82,516.50/178,168.50 = 178,168.50/x
3. Step 3: Cross multiply
   82,516.50x = 178,168.50 × 178,168.50
4. Step 4: Simplify right side
   82,516.50x = 31,744,014,392.25
5. Step 5: Solve for x
   x = 31,744,014,392.25/82,516.50
6. Step 6: Final answer
   x = 384,698.99