Finding the Third Proportional to 76,576.50 and 114,948

Step by Step Solution

1. Step 1: Write the proportion equation
   76,576.50 : 114,948 = 114,948 : x
2. Step 2: Convert to fraction form
   76,576.50/114,948 = 114,948/x
3. Step 3: Cross multiply
   76,576.50x = 114,948 × 114,948
4. Step 4: Simplify right side
   76,576.50x = 13,213,042,704
5. Step 5: Solve for x
   x = 13,213,042,704/76,576.50
6. Step 6: Final answer
   x = 172,546.97