Finding the Third Proportional to 82,743 and 178,610.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,743 : 178,610.25 = 178,610.25 : x
2. Step 2: Convert to fraction form
   82,743/178,610.25 = 178,610.25/x
3. Step 3: Cross multiply
   82,743x = 178,610.25 × 178,610.25
4. Step 4: Simplify right side
   82,743x = 31,901,621,405.06
5. Step 5: Solve for x
   x = 31,901,621,405.06/82,743
6. Step 6: Final answer
   x = 385,550.70