Finding the Third Proportional to 82,755 and 178,632

Step by Step Solution

1. Step 1: Write the proportion equation
   82,755 : 178,632 = 178,632 : x
2. Step 2: Convert to fraction form
   82,755/178,632 = 178,632/x
3. Step 3: Cross multiply
   82,755x = 178,632 × 178,632
4. Step 4: Simplify right side
   82,755x = 31,909,391,424
5. Step 5: Solve for x
   x = 31,909,391,424/82,755
6. Step 6: Final answer
   x = 385,588.68