Finding the Third Proportional to 82,859.06 and 177,980.34

Step by Step Solution

1. Step 1: Write the proportion equation
   82,859.06 : 177,980.34 = 177,980.34 : x
2. Step 2: Convert to fraction form
   82,859.06/177,980.34 = 177,980.34/x
3. Step 3: Cross multiply
   82,859.06x = 177,980.34 × 177,980.34
4. Step 4: Simplify right side
   82,859.06x = 31,677,002,761.37
5. Step 5: Solve for x
   x = 31,677,002,761.37/82,859.06
6. Step 6: Final answer
   x = 382,299.80