Finding the Third Proportional to 82,744 and 178,607

Step by Step Solution

1. Step 1: Write the proportion equation
   82,744 : 178,607 = 178,607 : x
2. Step 2: Convert to fraction form
   82,744/178,607 = 178,607/x
3. Step 3: Cross multiply
   82,744x = 178,607 × 178,607
4. Step 4: Simplify right side
   82,744x = 31,900,460,449
5. Step 5: Solve for x
   x = 31,900,460,449/82,744
6. Step 6: Final answer
   x = 385,532.01