Finding the Third Proportional to 188,672 and 406,848

Step by Step Solution

1. Step 1: Write the proportion equation
   188,672 : 406,848 = 406,848 : x
2. Step 2: Convert to fraction form
   188,672/406,848 = 406,848/x
3. Step 3: Cross multiply
   188,672x = 406,848 × 406,848
4. Step 4: Simplify right side
   188,672x = 165,525,295,104
5. Step 5: Solve for x
   x = 165,525,295,104/188,672
6. Step 6: Final answer
   x = 877,317.75