Finding the Third Proportional to 76,576.75 and 175,764

Step by Step Solution

1. Step 1: Write the proportion equation
   76,576.75 : 175,764 = 175,764 : x
2. Step 2: Convert to fraction form
   76,576.75/175,764 = 175,764/x
3. Step 3: Cross multiply
   76,576.75x = 175,764 × 175,764
4. Step 4: Simplify right side
   76,576.75x = 30,892,983,696
5. Step 5: Solve for x
   x = 30,892,983,696/76,576.75
6. Step 6: Final answer
   x = 403,425.11