Finding the Third Proportional to 80,658 and 185,133

Step by Step Solution

1. Step 1: Write the proportion equation
   80,658 : 185,133 = 185,133 : x
2. Step 2: Convert to fraction form
   80,658/185,133 = 185,133/x
3. Step 3: Cross multiply
   80,658x = 185,133 × 185,133
4. Step 4: Simplify right side
   80,658x = 34,274,227,689
5. Step 5: Solve for x
   x = 34,274,227,689/80,658
6. Step 6: Final answer
   x = 424,932.77