Finding the Third Proportional to 82,418.25 and 176,500.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,418.25 : 176,500.50 = 176,500.50 : x
2. Step 2: Convert to fraction form
   82,418.25/176,500.50 = 176,500.50/x
3. Step 3: Cross multiply
   82,418.25x = 176,500.50 × 176,500.50
4. Step 4: Simplify right side
   82,418.25x = 31,152,426,500.25
5. Step 5: Solve for x
   x = 31,152,426,500.25/82,418.25
6. Step 6: Final answer
   x = 377,979.71