Finding the Third Proportional to 90,006 and 185,772

Step by Step Solution

1. Step 1: Write the proportion equation
   90,006 : 185,772 = 185,772 : x
2. Step 2: Convert to fraction form
   90,006/185,772 = 185,772/x
3. Step 3: Cross multiply
   90,006x = 185,772 × 185,772
4. Step 4: Simplify right side
   90,006x = 34,511,235,984
5. Step 5: Solve for x
   x = 34,511,235,984/90,006
6. Step 6: Final answer
   x = 383,432.62