Finding the Third Proportional to 82,755 and 178,627

Step by Step Solution

1. Step 1: Write the proportion equation
   82,755 : 178,627 = 178,627 : x
2. Step 2: Convert to fraction form
   82,755/178,627 = 178,627/x
3. Step 3: Cross multiply
   82,755x = 178,627 × 178,627
4. Step 4: Simplify right side
   82,755x = 31,907,605,129
5. Step 5: Solve for x
   x = 31,907,605,129/82,755
6. Step 6: Final answer
   x = 385,567.10