Finding the Third Proportional to 182,686.50 and 398,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,686.50 : 398,485.50 = 398,485.50 : x
2. Step 2: Convert to fraction form
   182,686.50/398,485.50 = 398,485.50/x
3. Step 3: Cross multiply
   182,686.50x = 398,485.50 × 398,485.50
4. Step 4: Simplify right side
   182,686.50x = 158,790,693,710.25
5. Step 5: Solve for x
   x = 158,790,693,710.25/182,686.50
6. Step 6: Final answer
   x = 869,197.74