Finding the Third Proportional to 80,652 and 185,118

Step by Step Solution

1. Step 1: Write the proportion equation
   80,652 : 185,118 = 185,118 : x
2. Step 2: Convert to fraction form
   80,652/185,118 = 185,118/x
3. Step 3: Cross multiply
   80,652x = 185,118 × 185,118
4. Step 4: Simplify right side
   80,652x = 34,268,673,924
5. Step 5: Solve for x
   x = 34,268,673,924/80,652
6. Step 6: Final answer
   x = 424,895.53