Finding the Third Proportional to 186,464 and 406,036

Step by Step Solution

1. Step 1: Write the proportion equation
   186,464 : 406,036 = 406,036 : x
2. Step 2: Convert to fraction form
   186,464/406,036 = 406,036/x
3. Step 3: Cross multiply
   186,464x = 406,036 × 406,036
4. Step 4: Simplify right side
   186,464x = 164,865,233,296
5. Step 5: Solve for x
   x = 164,865,233,296/186,464
6. Step 6: Final answer
   x = 884,166.56