Finding the Third Proportional to 82,742.25 and 178,604.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,742.25 : 178,604.25 = 178,604.25 : x
2. Step 2: Convert to fraction form
   82,742.25/178,604.25 = 178,604.25/x
3. Step 3: Cross multiply
   82,742.25x = 178,604.25 × 178,604.25
4. Step 4: Simplify right side
   82,742.25x = 31,899,478,118.06
5. Step 5: Solve for x
   x = 31,899,478,118.06/82,742.25
6. Step 6: Final answer
   x = 385,528.29