Finding the Third Proportional to 189,166 and 406,208

Step by Step Solution

1. Step 1: Write the proportion equation
   189,166 : 406,208 = 406,208 : x
2. Step 2: Convert to fraction form
   189,166/406,208 = 406,208/x
3. Step 3: Cross multiply
   189,166x = 406,208 × 406,208
4. Step 4: Simplify right side
   189,166x = 165,004,939,264
5. Step 5: Solve for x
   x = 165,004,939,264/189,166
6. Step 6: Final answer
   x = 872,275.88