Finding the Third Proportional to 90,816 and 185,642

Step by Step Solution

1. Step 1: Write the proportion equation
   90,816 : 185,642 = 185,642 : x
2. Step 2: Convert to fraction form
   90,816/185,642 = 185,642/x
3. Step 3: Cross multiply
   90,816x = 185,642 × 185,642
4. Step 4: Simplify right side
   90,816x = 34,462,952,164
5. Step 5: Solve for x
   x = 34,462,952,164/90,816
6. Step 6: Final answer
   x = 379,481.06