Finding the Third Proportional to 86,574.75 and 185,468.25

Step by Step Solution

1. Step 1: Write the proportion equation
   86,574.75 : 185,468.25 = 185,468.25 : x
2. Step 2: Convert to fraction form
   86,574.75/185,468.25 = 185,468.25/x
3. Step 3: Cross multiply
   86,574.75x = 185,468.25 × 185,468.25
4. Step 4: Simplify right side
   86,574.75x = 34,398,471,758.06
5. Step 5: Solve for x
   x = 34,398,471,758.06/86,574.75
6. Step 6: Final answer
   x = 397,326.84