Finding the Third Proportional to 260,992 and 556,146

Step by Step Solution

1. Step 1: Write the proportion equation
   260,992 : 556,146 = 556,146 : x
2. Step 2: Convert to fraction form
   260,992/556,146 = 556,146/x
3. Step 3: Cross multiply
   260,992x = 556,146 × 556,146
4. Step 4: Simplify right side
   260,992x = 309,298,373,316
5. Step 5: Solve for x
   x = 309,298,373,316/260,992
6. Step 6: Final answer
   x = 1,185,087.56