Finding the Third Proportional to 188,544 and 406,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,544 : 406,606.50 = 406,606.50 : x
2. Step 2: Convert to fraction form
   188,544/406,606.50 = 406,606.50/x
3. Step 3: Cross multiply
   188,544x = 406,606.50 × 406,606.50
4. Step 4: Simplify right side
   188,544x = 165,328,845,842.25
5. Step 5: Solve for x
   x = 165,328,845,842.25/188,544
6. Step 6: Final answer
   x = 876,871.42