Finding the Third Proportional to 85,351.50 and 185,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,351.50 : 185,746.50 = 185,746.50 : x
2. Step 2: Convert to fraction form
   85,351.50/185,746.50 = 185,746.50/x
3. Step 3: Cross multiply
   85,351.50x = 185,746.50 × 185,746.50
4. Step 4: Simplify right side
   85,351.50x = 34,501,762,262.25
5. Step 5: Solve for x
   x = 34,501,762,262.25/85,351.50
6. Step 6: Final answer
   x = 404,231.47