Finding the Third Proportional to 82,104 and 176,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,104 : 176,872.50 = 176,872.50 : x
2. Step 2: Convert to fraction form
   82,104/176,872.50 = 176,872.50/x
3. Step 3: Cross multiply
   82,104x = 176,872.50 × 176,872.50
4. Step 4: Simplify right side
   82,104x = 31,283,881,256.25
5. Step 5: Solve for x
   x = 31,283,881,256.25/82,104
6. Step 6: Final answer
   x = 381,027.49