Finding the Third Proportional to 82,745 and 178,608

Step by Step Solution

1. Step 1: Write the proportion equation
   82,745 : 178,608 = 178,608 : x
2. Step 2: Convert to fraction form
   82,745/178,608 = 178,608/x
3. Step 3: Cross multiply
   82,745x = 178,608 × 178,608
4. Step 4: Simplify right side
   82,745x = 31,900,817,664
5. Step 5: Solve for x
   x = 31,900,817,664/82,745
6. Step 6: Final answer
   x = 385,531.67