Finding the Third Proportional to 120,904 and 265,152

Step by Step Solution

1. Step 1: Write the proportion equation
   120,904 : 265,152 = 265,152 : x
2. Step 2: Convert to fraction form
   120,904/265,152 = 265,152/x
3. Step 3: Cross multiply
   120,904x = 265,152 × 265,152
4. Step 4: Simplify right side
   120,904x = 70,305,583,104
5. Step 5: Solve for x
   x = 70,305,583,104/120,904
6. Step 6: Final answer
   x = 581,499.23