Finding the Third Proportional to 188,577 and 412,146

Step by Step Solution

1. Step 1: Write the proportion equation
   188,577 : 412,146 = 412,146 : x
2. Step 2: Convert to fraction form
   188,577/412,146 = 412,146/x
3. Step 3: Cross multiply
   188,577x = 412,146 × 412,146
4. Step 4: Simplify right side
   188,577x = 169,864,325,316
5. Step 5: Solve for x
   x = 169,864,325,316/188,577
6. Step 6: Final answer
   x = 900,769.05