Finding the Third Proportional to 77,124 and 160,404

Step by Step Solution

1. Step 1: Write the proportion equation
   77,124 : 160,404 = 160,404 : x
2. Step 2: Convert to fraction form
   77,124/160,404 = 160,404/x
3. Step 3: Cross multiply
   77,124x = 160,404 × 160,404
4. Step 4: Simplify right side
   77,124x = 25,729,443,216
5. Step 5: Solve for x
   x = 25,729,443,216/77,124
6. Step 6: Final answer
   x = 333,611.37