Finding the Third Proportional to 82,415.75 and 176,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,415.75 : 176,495.50 = 176,495.50 : x
2. Step 2: Convert to fraction form
   82,415.75/176,495.50 = 176,495.50/x
3. Step 3: Cross multiply
   82,415.75x = 176,495.50 × 176,495.50
4. Step 4: Simplify right side
   82,415.75x = 31,150,661,520.25
5. Step 5: Solve for x
   x = 31,150,661,520.25/82,415.75
6. Step 6: Final answer
   x = 377,969.76