Finding the Third Proportional to 82,640 and 178,528

Step by Step Solution

1. Step 1: Write the proportion equation
   82,640 : 178,528 = 178,528 : x
2. Step 2: Convert to fraction form
   82,640/178,528 = 178,528/x
3. Step 3: Cross multiply
   82,640x = 178,528 × 178,528
4. Step 4: Simplify right side
   82,640x = 31,872,246,784
5. Step 5: Solve for x
   x = 31,872,246,784/82,640
6. Step 6: Final answer
   x = 385,675.78