Finding the Third Proportional to 185,136 and 406,680

Step by Step Solution

1. Step 1: Write the proportion equation
   185,136 : 406,680 = 406,680 : x
2. Step 2: Convert to fraction form
   185,136/406,680 = 406,680/x
3. Step 3: Cross multiply
   185,136x = 406,680 × 406,680
4. Step 4: Simplify right side
   185,136x = 165,388,622,400
5. Step 5: Solve for x
   x = 165,388,622,400/185,136
6. Step 6: Final answer
   x = 893,335.83