Finding the Third Proportional to 185,438 and 406,960

Step by Step Solution

1. Step 1: Write the proportion equation
   185,438 : 406,960 = 406,960 : x
2. Step 2: Convert to fraction form
   185,438/406,960 = 406,960/x
3. Step 3: Cross multiply
   185,438x = 406,960 × 406,960
4. Step 4: Simplify right side
   185,438x = 165,616,441,600
5. Step 5: Solve for x
   x = 165,616,441,600/185,438
6. Step 6: Final answer
   x = 893,109.51