Finding the Third Proportional to 188,538 and 406,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   188,538 : 406,600.50 = 406,600.50 : x
2. Step 2: Convert to fraction form
   188,538/406,600.50 = 406,600.50/x
3. Step 3: Cross multiply
   188,538x = 406,600.50 × 406,600.50
4. Step 4: Simplify right side
   188,538x = 165,323,966,600.25
5. Step 5: Solve for x
   x = 165,323,966,600.25/188,538
6. Step 6: Final answer
   x = 876,873.45