Finding the Third Proportional to 85,718.25 and 188,048.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,718.25 : 188,048.25 = 188,048.25 : x
2. Step 2: Convert to fraction form
   85,718.25/188,048.25 = 188,048.25/x
3. Step 3: Cross multiply
   85,718.25x = 188,048.25 × 188,048.25
4. Step 4: Simplify right side
   85,718.25x = 35,362,144,328.06
5. Step 5: Solve for x
   x = 35,362,144,328.06/85,718.25
6. Step 6: Final answer
   x = 412,539.27