Finding the Third Proportional to 80,123 and 185,480

Step by Step Solution

1. Step 1: Write the proportion equation
   80,123 : 185,480 = 185,480 : x
2. Step 2: Convert to fraction form
   80,123/185,480 = 185,480/x
3. Step 3: Cross multiply
   80,123x = 185,480 × 185,480
4. Step 4: Simplify right side
   80,123x = 34,402,830,400
5. Step 5: Solve for x
   x = 34,402,830,400/80,123
6. Step 6: Final answer
   x = 429,375.22