Finding the Third Proportional to 83,624 and 178,756

Step by Step Solution

1. Step 1: Write the proportion equation
   83,624 : 178,756 = 178,756 : x
2. Step 2: Convert to fraction form
   83,624/178,756 = 178,756/x
3. Step 3: Cross multiply
   83,624x = 178,756 × 178,756
4. Step 4: Simplify right side
   83,624x = 31,953,707,536
5. Step 5: Solve for x
   x = 31,953,707,536/83,624
6. Step 6: Final answer
   x = 382,111.68