Finding the Third Proportional to 120,864 and 265,056

Step by Step Solution

1. Step 1: Write the proportion equation
   120,864 : 265,056 = 265,056 : x
2. Step 2: Convert to fraction form
   120,864/265,056 = 265,056/x
3. Step 3: Cross multiply
   120,864x = 265,056 × 265,056
4. Step 4: Simplify right side
   120,864x = 70,254,683,136
5. Step 5: Solve for x
   x = 70,254,683,136/120,864
6. Step 6: Final answer
   x = 581,270.54