Finding the Third Proportional to 82,632 and 178,512

Step by Step Solution

1. Step 1: Write the proportion equation
   82,632 : 178,512 = 178,512 : x
2. Step 2: Convert to fraction form
   82,632/178,512 = 178,512/x
3. Step 3: Cross multiply
   82,632x = 178,512 × 178,512
4. Step 4: Simplify right side
   82,632x = 31,866,534,144
5. Step 5: Solve for x
   x = 31,866,534,144/82,632
6. Step 6: Final answer
   x = 385,643.99