Finding the Third Proportional to 116,124 and 179,424

Step by Step Solution

1. Step 1: Write the proportion equation
   116,124 : 179,424 = 179,424 : x
2. Step 2: Convert to fraction form
   116,124/179,424 = 179,424/x
3. Step 3: Cross multiply
   116,124x = 179,424 × 179,424
4. Step 4: Simplify right side
   116,124x = 32,192,971,776
5. Step 5: Solve for x
   x = 32,192,971,776/116,124
6. Step 6: Final answer
   x = 277,229.27