Finding the Third Proportional to 82,449 and 176,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,449 : 176,557.50 = 176,557.50 : x
2. Step 2: Convert to fraction form
   82,449/176,557.50 = 176,557.50/x
3. Step 3: Cross multiply
   82,449x = 176,557.50 × 176,557.50
4. Step 4: Simplify right side
   82,449x = 31,172,550,806.25
5. Step 5: Solve for x
   x = 31,172,550,806.25/82,449
6. Step 6: Final answer
   x = 378,082.82