Finding the Third Proportional to 72,282 and 174,126

Step by Step Solution

1. Step 1: Write the proportion equation
   72,282 : 174,126 = 174,126 : x
2. Step 2: Convert to fraction form
   72,282/174,126 = 174,126/x
3. Step 3: Cross multiply
   72,282x = 174,126 × 174,126
4. Step 4: Simplify right side
   72,282x = 30,319,863,876
5. Step 5: Solve for x
   x = 30,319,863,876/72,282
6. Step 6: Final answer
   x = 419,466.31