Finding the Third Proportional to 82,731 and 178,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,731 : 178,584.50 = 178,584.50 : x
2. Step 2: Convert to fraction form
   82,731/178,584.50 = 178,584.50/x
3. Step 3: Cross multiply
   82,731x = 178,584.50 × 178,584.50
4. Step 4: Simplify right side
   82,731x = 31,892,423,640.25
5. Step 5: Solve for x
   x = 31,892,423,640.25/82,731
6. Step 6: Final answer
   x = 385,495.44