Finding the Third Proportional to 80,128 and 185,492

Step by Step Solution

1. Step 1: Write the proportion equation
   80,128 : 185,492 = 185,492 : x
2. Step 2: Convert to fraction form
   80,128/185,492 = 185,492/x
3. Step 3: Cross multiply
   80,128x = 185,492 × 185,492
4. Step 4: Simplify right side
   80,128x = 34,407,282,064
5. Step 5: Solve for x
   x = 34,407,282,064/80,128
6. Step 6: Final answer
   x = 429,403.98