Finding the Third Proportional to 82,750.50 and 178,621.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,750.50 : 178,621.50 = 178,621.50 : x
2. Step 2: Convert to fraction form
   82,750.50/178,621.50 = 178,621.50/x
3. Step 3: Cross multiply
   82,750.50x = 178,621.50 × 178,621.50
4. Step 4: Simplify right side
   82,750.50x = 31,905,640,262.25
5. Step 5: Solve for x
   x = 31,905,640,262.25/82,750.50
6. Step 6: Final answer
   x = 385,564.32