Finding the Third Proportional to 82,409.06 and 174,934.69

Step by Step Solution

1. Step 1: Write the proportion equation
   82,409.06 : 174,934.69 = 174,934.69 : x
2. Step 2: Convert to fraction form
   82,409.06/174,934.69 = 174,934.69/x
3. Step 3: Cross multiply
   82,409.06x = 174,934.69 × 174,934.69
4. Step 4: Simplify right side
   82,409.06x = 30,602,144,890.72
5. Step 5: Solve for x
   x = 30,602,144,890.72/82,409.06
6. Step 6: Final answer
   x = 371,344.41