Finding the Third Proportional to 82,066.50 and 176,688

Step by Step Solution

1. Step 1: Write the proportion equation
   82,066.50 : 176,688 = 176,688 : x
2. Step 2: Convert to fraction form
   82,066.50/176,688 = 176,688/x
3. Step 3: Cross multiply
   82,066.50x = 176,688 × 176,688
4. Step 4: Simplify right side
   82,066.50x = 31,218,649,344
5. Step 5: Solve for x
   x = 31,218,649,344/82,066.50
6. Step 6: Final answer
   x = 380,406.74