Finding the Third Proportional to 126,180 and 175,446

Step by Step Solution

1. Step 1: Write the proportion equation
   126,180 : 175,446 = 175,446 : x
2. Step 2: Convert to fraction form
   126,180/175,446 = 175,446/x
3. Step 3: Cross multiply
   126,180x = 175,446 × 175,446
4. Step 4: Simplify right side
   126,180x = 30,781,298,916
5. Step 5: Solve for x
   x = 30,781,298,916/126,180
6. Step 6: Final answer
   x = 243,947.53