Finding the Third Proportional to 82,348.31 and 179,755.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82,348.31 : 179,755.88 = 179,755.88 : x
2. Step 2: Convert to fraction form
   82,348.31/179,755.88 = 179,755.88/x
3. Step 3: Cross multiply
   82,348.31x = 179,755.88 × 179,755.88
4. Step 4: Simplify right side
   82,348.31x = 32,312,174,597.02
5. Step 5: Solve for x
   x = 32,312,174,597.02/82,348.31
6. Step 6: Final answer
   x = 392,384.17