Finding the Third Proportional to 82,081.50 and 176,637

Step by Step Solution

1. Step 1: Write the proportion equation
   82,081.50 : 176,637 = 176,637 : x
2. Step 2: Convert to fraction form
   82,081.50/176,637 = 176,637/x
3. Step 3: Cross multiply
   82,081.50x = 176,637 × 176,637
4. Step 4: Simplify right side
   82,081.50x = 31,200,629,769
5. Step 5: Solve for x
   x = 31,200,629,769/82,081.50
6. Step 6: Final answer
   x = 380,117.69