Finding the Third Proportional to 185,654 and 406,084

Step by Step Solution

1. Step 1: Write the proportion equation
   185,654 : 406,084 = 406,084 : x
2. Step 2: Convert to fraction form
   185,654/406,084 = 406,084/x
3. Step 3: Cross multiply
   185,654x = 406,084 × 406,084
4. Step 4: Simplify right side
   185,654x = 164,904,215,056
5. Step 5: Solve for x
   x = 164,904,215,056/185,654
6. Step 6: Final answer
   x = 888,234.11