Finding the Third Proportional to 82,055.25 and 176,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,055.25 : 176,665.50 = 176,665.50 : x
2. Step 2: Convert to fraction form
   82,055.25/176,665.50 = 176,665.50/x
3. Step 3: Cross multiply
   82,055.25x = 176,665.50 × 176,665.50
4. Step 4: Simplify right side
   82,055.25x = 31,210,698,890.25
5. Step 5: Solve for x
   x = 31,210,698,890.25/82,055.25
6. Step 6: Final answer
   x = 380,362.00