Finding the Third Proportional to 189,696 and 406,380

Step by Step Solution

1. Step 1: Write the proportion equation
   189,696 : 406,380 = 406,380 : x
2. Step 2: Convert to fraction form
   189,696/406,380 = 406,380/x
3. Step 3: Cross multiply
   189,696x = 406,380 × 406,380
4. Step 4: Simplify right side
   189,696x = 165,144,704,400
5. Step 5: Solve for x
   x = 165,144,704,400/189,696
6. Step 6: Final answer
   x = 870,575.58