Finding the Third Proportional to 85,366.50 and 185,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,366.50 : 185,866.50 = 185,866.50 : x
2. Step 2: Convert to fraction form
   85,366.50/185,866.50 = 185,866.50/x
3. Step 3: Cross multiply
   85,366.50x = 185,866.50 × 185,866.50
4. Step 4: Simplify right side
   85,366.50x = 34,546,355,822.25
5. Step 5: Solve for x
   x = 34,546,355,822.25/85,366.50
6. Step 6: Final answer
   x = 404,682.82