Finding the Third Proportional to 80,654 and 185,123

Step by Step Solution

1. Step 1: Write the proportion equation
   80,654 : 185,123 = 185,123 : x
2. Step 2: Convert to fraction form
   80,654/185,123 = 185,123/x
3. Step 3: Cross multiply
   80,654x = 185,123 × 185,123
4. Step 4: Simplify right side
   80,654x = 34,270,525,129
5. Step 5: Solve for x
   x = 34,270,525,129/80,654
6. Step 6: Final answer
   x = 424,907.94