Finding the Third Proportional to 85,718.25 and 188,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,718.25 : 188,041.50 = 188,041.50 : x
2. Step 2: Convert to fraction form
   85,718.25/188,041.50 = 188,041.50/x
3. Step 3: Cross multiply
   85,718.25x = 188,041.50 × 188,041.50
4. Step 4: Simplify right side
   85,718.25x = 35,359,605,722.25
5. Step 5: Solve for x
   x = 35,359,605,722.25/85,718.25
6. Step 6: Final answer
   x = 412,509.65