Finding the Third Proportional to 82,397.25 and 176,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,397.25 : 176,458.50 = 176,458.50 : x
2. Step 2: Convert to fraction form
   82,397.25/176,458.50 = 176,458.50/x
3. Step 3: Cross multiply
   82,397.25x = 176,458.50 × 176,458.50
4. Step 4: Simplify right side
   82,397.25x = 31,137,602,222.25
5. Step 5: Solve for x
   x = 31,137,602,222.25/82,397.25
6. Step 6: Final answer
   x = 377,896.13