Finding the Third Proportional to 82,548 and 178,920

Step by Step Solution

1. Step 1: Write the proportion equation
   82,548 : 178,920 = 178,920 : x
2. Step 2: Convert to fraction form
   82,548/178,920 = 178,920/x
3. Step 3: Cross multiply
   82,548x = 178,920 × 178,920
4. Step 4: Simplify right side
   82,548x = 32,012,366,400
5. Step 5: Solve for x
   x = 32,012,366,400/82,548
6. Step 6: Final answer
   x = 387,803.05