Finding the Third Proportional to 82,405.27 and 174,927.09

Step by Step Solution

1. Step 1: Write the proportion equation
   82,405.27 : 174,927.09 = 174,927.09 : x
2. Step 2: Convert to fraction form
   82,405.27/174,927.09 = 174,927.09/x
3. Step 3: Cross multiply
   82,405.27x = 174,927.09 × 174,927.09
4. Step 4: Simplify right side
   82,405.27x = 30,599,488,127.82
5. Step 5: Solve for x
   x = 30,599,488,127.82/82,405.27
6. Step 6: Final answer
   x = 371,329.28