Finding the Third Proportional to 120,936 and 262,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,936 : 262,576.50 = 262,576.50 : x
2. Step 2: Convert to fraction form
   120,936/262,576.50 = 262,576.50/x
3. Step 3: Cross multiply
   120,936x = 262,576.50 × 262,576.50
4. Step 4: Simplify right side
   120,936x = 68,946,418,352.25
5. Step 5: Solve for x
   x = 68,946,418,352.25/120,936
6. Step 6: Final answer
   x = 570,106.65