Finding the Third Proportional to 82,112 and 176,502

Step by Step Solution

1. Step 1: Write the proportion equation
   82,112 : 176,502 = 176,502 : x
2. Step 2: Convert to fraction form
   82,112/176,502 = 176,502/x
3. Step 3: Cross multiply
   82,112x = 176,502 × 176,502
4. Step 4: Simplify right side
   82,112x = 31,152,956,004
5. Step 5: Solve for x
   x = 31,152,956,004/82,112
6. Step 6: Final answer
   x = 379,395.90