Finding the Third Proportional to 82,409.50 and 176,483

Step by Step Solution

1. Step 1: Write the proportion equation
   82,409.50 : 176,483 = 176,483 : x
2. Step 2: Convert to fraction form
   82,409.50/176,483 = 176,483/x
3. Step 3: Cross multiply
   82,409.50x = 176,483 × 176,483
4. Step 4: Simplify right side
   82,409.50x = 31,146,249,289
5. Step 5: Solve for x
   x = 31,146,249,289/82,409.50
6. Step 6: Final answer
   x = 377,944.89