Finding the Third Proportional to 280,164 and 377,460

Step by Step Solution

1. Step 1: Write the proportion equation
   280,164 : 377,460 = 377,460 : x
2. Step 2: Convert to fraction form
   280,164/377,460 = 377,460/x
3. Step 3: Cross multiply
   280,164x = 377,460 × 377,460
4. Step 4: Simplify right side
   280,164x = 142,476,051,600
5. Step 5: Solve for x
   x = 142,476,051,600/280,164
6. Step 6: Final answer
   x = 508,545.18