Finding the Third Proportional to 82,414.13 and 174,953.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,414.13 : 174,953.25 = 174,953.25 : x
2. Step 2: Convert to fraction form
   82,414.13/174,953.25 = 174,953.25/x
3. Step 3: Cross multiply
   82,414.13x = 174,953.25 × 174,953.25
4. Step 4: Simplify right side
   82,414.13x = 30,608,639,685.56
5. Step 5: Solve for x
   x = 30,608,639,685.56/82,414.13
6. Step 6: Final answer
   x = 371,400.41