Finding the Third Proportional to 86,573.25 and 185,465.25

Step by Step Solution

1. Step 1: Write the proportion equation
   86,573.25 : 185,465.25 = 185,465.25 : x
2. Step 2: Convert to fraction form
   86,573.25/185,465.25 = 185,465.25/x
3. Step 3: Cross multiply
   86,573.25x = 185,465.25 × 185,465.25
4. Step 4: Simplify right side
   86,573.25x = 34,397,358,957.56
5. Step 5: Solve for x
   x = 34,397,358,957.56/86,573.25
6. Step 6: Final answer
   x = 397,320.87