Finding the Third Proportional to 189,610 and 406,206

Step by Step Solution

1. Step 1: Write the proportion equation
   189,610 : 406,206 = 406,206 : x
2. Step 2: Convert to fraction form
   189,610/406,206 = 406,206/x
3. Step 3: Cross multiply
   189,610x = 406,206 × 406,206
4. Step 4: Simplify right side
   189,610x = 165,003,314,436
5. Step 5: Solve for x
   x = 165,003,314,436/189,610
6. Step 6: Final answer
   x = 870,224.75