Finding the Third Proportional to 185,870 and 406,300

Step by Step Solution

1. Step 1: Write the proportion equation
   185,870 : 406,300 = 406,300 : x
2. Step 2: Convert to fraction form
   185,870/406,300 = 406,300/x
3. Step 3: Cross multiply
   185,870x = 406,300 × 406,300
4. Step 4: Simplify right side
   185,870x = 165,079,690,000
5. Step 5: Solve for x
   x = 165,079,690,000/185,870
6. Step 6: Final answer
   x = 888,145.96