Finding the Third Proportional to 119,352 and 260,016

Step by Step Solution

1. Step 1: Write the proportion equation
   119,352 : 260,016 = 260,016 : x
2. Step 2: Convert to fraction form
   119,352/260,016 = 260,016/x
3. Step 3: Cross multiply
   119,352x = 260,016 × 260,016
4. Step 4: Simplify right side
   119,352x = 67,608,320,256
5. Step 5: Solve for x
   x = 67,608,320,256/119,352
6. Step 6: Final answer
   x = 566,461.56