Finding the Third Proportional to 85,739 and 188,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,739 : 188,078.50 = 188,078.50 : x
2. Step 2: Convert to fraction form
   85,739/188,078.50 = 188,078.50/x
3. Step 3: Cross multiply
   85,739x = 188,078.50 × 188,078.50
4. Step 4: Simplify right side
   85,739x = 35,373,522,162.25
5. Step 5: Solve for x
   x = 35,373,522,162.25/85,739
6. Step 6: Final answer
   x = 412,572.13