Finding the Third Proportional to 120,642 and 261,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,642 : 261,141.50 = 261,141.50 : x
2. Step 2: Convert to fraction form
   120,642/261,141.50 = 261,141.50/x
3. Step 3: Cross multiply
   120,642x = 261,141.50 × 261,141.50
4. Step 4: Simplify right side
   120,642x = 68,194,883,022.25
5. Step 5: Solve for x
   x = 68,194,883,022.25/120,642
6. Step 6: Final answer
   x = 565,266.52