Finding the Third Proportional to 100,576.50 and 215,757

Step by Step Solution

1. Step 1: Write the proportion equation
   100,576.50 : 215,757 = 215,757 : x
2. Step 2: Convert to fraction form
   100,576.50/215,757 = 215,757/x
3. Step 3: Cross multiply
   100,576.50x = 215,757 × 215,757
4. Step 4: Simplify right side
   100,576.50x = 46,551,083,049
5. Step 5: Solve for x
   x = 46,551,083,049/100,576.50
6. Step 6: Final answer
   x = 462,842.54