Finding the Third Proportional to 82,348.50 and 179,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,348.50 : 179,755.50 = 179,755.50 : x
2. Step 2: Convert to fraction form
   82,348.50/179,755.50 = 179,755.50/x
3. Step 3: Cross multiply
   82,348.50x = 179,755.50 × 179,755.50
4. Step 4: Simplify right side
   82,348.50x = 32,312,039,780.25
5. Step 5: Solve for x
   x = 32,312,039,780.25/82,348.50
6. Step 6: Final answer
   x = 392,381.64