Finding the Third Proportional to 86,100 and 185,792

Step by Step Solution

1. Step 1: Write the proportion equation
   86,100 : 185,792 = 185,792 : x
2. Step 2: Convert to fraction form
   86,100/185,792 = 185,792/x
3. Step 3: Cross multiply
   86,100x = 185,792 × 185,792
4. Step 4: Simplify right side
   86,100x = 34,518,667,264
5. Step 5: Solve for x
   x = 34,518,667,264/86,100
6. Step 6: Final answer
   x = 400,913.67