Finding the Third Proportional to 86,075 and 185,746

Step by Step Solution

1. Step 1: Write the proportion equation
   86,075 : 185,746 = 185,746 : x
2. Step 2: Convert to fraction form
   86,075/185,746 = 185,746/x
3. Step 3: Cross multiply
   86,075x = 185,746 × 185,746
4. Step 4: Simplify right side
   86,075x = 34,501,576,516
5. Step 5: Solve for x
   x = 34,501,576,516/86,075
6. Step 6: Final answer
   x = 400,831.56